Catholic Church yes, Roman Catholic Chuch no.
The Roman Catholic Church is not a separate thing from the Catholic Church. The word "Roman" refers to the jurisdiction that the local church of Rome has over Latin rite churches,as distinct from the Greek and Eastern churches,or the schismatic Orthodox and Anglican churches. The title Roman Catholic did not come into common use until after the protestant revolt against the Church. It was used by protestants to portray the Catholic Church as a corrupt,tyrannical human institution (like the Roman Empire) and not the Church founded by Christ. But the saints of the Church throughout the centuries acknowledged the church of Rome as having divine authority over the whole Church.
"Ignatius, who is also called Theophorus, to the Church which has obtained mercy, through the majesty of the Mast High God the Father, and of Jesus Christ, His only-begotten Son; the Church which is sanctified and enlightened by the will of God, who farmed all things that are according to the faith and love of Jesus Christ, our God and Saviour; the Church which presides in the place of the region of the Romans, and which is worthy of God, worthy of honour, worthy of the highest happiness, worthy of praise, worthy of credit, worthy of being deemed holy, and which presides over love..." Ignatius of Antioch, Epistle to the Romans, Prologue (A.D. 110).
"Since, however, it would be very tedious, in such a volume as this, to reckon up the successions of all the Churches, we do put to confusion all those who, in whatever manner, whether by an evil self-pleasing, by vainglory, or by blindness and perverse opinion, assemble in unauthorized meetings; [we do this, I say,] by indicating that tradition derived from the apostles, of the very great, the very ancient, and universally known Church founded and organized at Rome by the two most glorious apostles, Peter and Paul; as also [by pointing out] the faith preached to men, which comes down to our time by means of the successions of the bishops. For it is a matter of necessity that every Church should agree with this Church, on account of its pre- eminent authority, that is, the faithful everywhere, inasmuch as the apostolical tradition has been preserved continuously by those [faithful men] who exist everywhere." Irenaeus, Against Heresies, 3:3:2 (A.D. 180).
"And he says to him again after the resurrection, 'Feed my sheep.' It is on him that he builds the Church, and to him that he entrusts the sheep to feed. And although he assigns a like power to all the apostles, yet he founded a single Chair, thus establishing by his own authority the source and hallmark of the (Church's) oneness. No doubt the others were all that Peter was, but a primacy is given to Peter, and it is (thus) made clear that there is but one flock which is to be fed by all the apostles in common accord. If a man does not hold fast to this oneness of Peter, does he imagine that he still holds the faith? If he deserts the Chair of Peter upon whom the Church was built, has he still confidence that he is in the Church? This unity firmly should we hold and maintain, especially we bishops, presiding in the Church, in order that we may approve the episcopate itself to be the one and undivided." Cyprian, The Unity of the Church, 4-5 (A.D. 251-256).
"After such things as these, moreover, they still dare--a false bishop having been appointed for them by, heretics--to set sail and to bear letters from schismatic and profane persons to the throne of Peter, and to the chief church whence priestly unity takes its source; and not to consider that these were the Romans whose faith was praised in the preaching of the apostle, to whom faithlessness could have no access." Cyprian, To Cornelius, Epistle 54/59:14 (A.D. 252).
"For Dionysius, Bishop of Rome, having written also against those who said that the Son of God was a creature and a created thing, it is manifest that not now for the first time but from of old the heresy of the Arian adversaries of Christ has been anathematised by all." Athanasius, Dionysius of Rome, 13 (A.D. 352).
"You cannot deny that you know that in the city of Rome the Chair was first conferred on Peter, in which the prince of all the Apostles, Peter, sat…in which Chair unity should be preserved by all, so that he should now be a schismatic and a sinner who should set up another Chair against that unique one." Optatus of Mileve, The Schism of Donatists, 2:2-3 (c. A.D. 367).
"…I think it my duty to consult the chair of Peter, and to turn to a church whose faith has been praised by Paul…The fruitful soil of Rome, when it receives the pure seed of the Lord, bears fruit an hundredfold…My words are spoken to the successor of the fisherman, to the disciple of the cross. As I follow no leader save Christ, so I communicate with none but your blessedness, that is with the chair of Peter. For this, I know, is the rock on which the church is built! This is the house where alone the paschal lamb can be rightly eaten. This is the ark of Noah, and he who is not found in it shall perish when the flood prevails.” Jerome, To Pope Damasus, Epistle 15:1-2 (A.D. 375).
"But he was not so eager as to lay aside caution. He called the bishop to him, and esteeming that there can be no true thankfulness except it spring from true faith, he enquired whether he agreed with the Catholic bishops, that is, with the Roman Church?" Ambrose, The death of his brother Satyrus, 1:47 (A.D. 378).
"Your grace must be besought not to permit any disturbance of the Roman Church, the head of the whole Roman World and of the most holy faith of the Apostles, for from thence flow out to all (churches) the bonds of sacred communion." Ambrose, To Emperor Gratian, Epistle 11:4 (A.D. 381).
"Number the bishops from the See of Peter itself. And in that order of Fathers see who has succeeded whom. That is the rock against which the gates of hell do not prevail" Augustine, Psalm against the Party of Donatus, 18 (A.D. 393).
"I am held in the communion of the Catholic Church by...and by the succession of bishops from the very seat of Peter, to whom the Lord, after His resurrection commended His sheep to be fed up to the present episcopate." Augustine, Against the Letter of Mani, 5 (A.D. 395).
“Carthage was also near the countries over the sea, and distinguished by illustrious renown, so that it had a bishop of more than ordinary influence, who could afford to disregard a number of conspiring enemies because he saw himself joined by letters of communion to the Roman Church, in which the supremacy of an apostolic chair has always flourished.” Augustine, To Glorius et.al, Epistle 43:7 (A.D. 397).
"Philip, presbyter and legate of the Apostolic See, said: There is no doubt, and in fact it has been known in all ages, that the holy and most blessed Peter, prince and head of the apostles, pillar of the faith, and foundation of the Catholic Church, received the keys of the kingdom from our Lord Jesus Christ, the Saviour and Redeemer of the human race, and that to him was given the power of loosing and binding sins: Our holy and most blessed Pope Celestine the bishop is according to due order his successor and holds his place...Accordingly the decision of all churches is firm, for the priests of the eastern and western churches are present...Wherefore Nestorius knows that he is alienated from the communion of the priests of the Catholic Church." Council of Ephesus, Session III (A.D. 431).
"After the reading of the foregoing epistle [the Tome of Pope Leo], the most reverend bishops cried out: This is the faith of the fathers, this is the faith of the Apostles. So we all believe, thus the orthodox believe. Anathema to him who does not thus believe. Peter has spoken thus through Leo [regn. A.D. 440-461]. So taught the Apostles. Piously and truly did Leo teach, so taught Cyril. Everlasting be the memory of Cyril. Leo and Cyril taught the same thing, anathema to him who does not so believe. This is the true faith. Those of us who are orthodox thus believe. This is the faith of the fathers." Council of Chalcedon, Session II (A.D. 451).
"Wherefore the most holy and blessed Leo, archbishop of the great and elder Rome, through us, and through this present most holy synod together with the thrice blessed and all-glorious Peter the Apostle, who is the rock and foundation of the Catholic Church, and the foundation of the orthodox faith, hath stripped him of the episcopate, and hath alienated from him all hieratic worthiness. Therefore let this most holy and great synod sentence the before mentioned Dioscorus to the canonical penalties." Council of Chalcedon, Session III (A.D. 451).
Scripture Catholic - THE PRIMACY OF PETER