see this is the exclusive elitist stuff that makes unity difficult. Orthodox think they own communion. Protestants have been baptized into the church and are saved by grace through faith. Those verses don’t apply to Protestants, they refer to unbelievers or believers in sin. Imagine the hubris to think that only your church denomination could administer the Lord’s supper. Wow
You really do not understand the principles of the Covenant of God (aka The New Covenant). Ray Sutton - a Protestant Calvinist - wrote a very good (albeit erroneous in some places) book regarding the Covenant. Where it is good is that it clearly defines the five working principles that make up a covenant relatioship.
1. Transcendence - the greater offers covenant to the lesser
2. Hierarchy - who's in charge here?
3. Ethics - the rules (or law) of the covenant
4. O - Oaths and Sanctions (vows taken to enter the covenant with consequences for breaking those vows)
5. Succession - the covenant passes from generation to generation.
In the covenant organization called "The Church," Christ is the head of the Church. In being this, He delegates His power and authority to certain men. In the beginning, these were the Apostles. No other believer (of the thousands who came to believe on Him) had the power the Apostles had. None of them had the authority that Christ gave to them ("Whosoever's sins you remit, they are remitted).
In principle five, we see the reality of apostolic succession. The power and authority of the Apostles, given to the bishops of the Church, is passed down by the "laying on of hands" (mentioned by St. Paul in his letter to Timothy).
Thus, Protestants DO NOT HAVE a Eucharist. This is because they broke the chain of succession from the apostolic faith when they left the Church of Rome (despite Her errors, Rome is still an apostolic Church with apostolic succession)
So yes, only those who are in the line of succession (Principle Five) and who have been given authority (Principle Two) are able to pronounce the words of consecration and have the bread and wine become the Eucharist, the true Body and Blood of Christ.
And while I am at it - the Eucharist is called "Holy Communion." Communion has been called "Common Union," that is, it is a symbol that we share the same belief in the same Christ and the same one, holy, catholic, and apostolic Church. Now if you come to the table of the Lord and you don't hold to things like baptism for the forgiveness of sins, the Seven Sacraments, etc. then are you really in common union?
NO!!!
Why then would you want to show the world that you believe in what we believe (i.e. hold to a common union of belief) by partaking of the symbol of that union, when you do not???? This is why the Orthodox do not allow anyone but Orthodox to the Lord's Table, not even Roman Catholics, who are an apostolic succession Church. There is no point of common union, and in fact, there is more disunion than union.
You want to come to the Lord's Table. Repent of the falsehoods and man-made theology of Protestantism and join the Orthodox Church. The same goes for Roman Catholics. Sorry, but until you jettison things like The Immaculate Conception, Purgatory, The Treasury of Merit, Indulgences, Papal Infallibility, Papal Supremacy, etc, and return to the beliefs of the Early Fathers, we have very little in common other than a lineage back to the Apostles.