The New Testament refers to the Hebrew Language, which at the time was Aramaic.
When Jesus cried out from the cross in Hebrew, people misunderstood what he was saying because they were interpreting it as Aramaic. They thought He was calling Elijah.
It clearly says Hebrew in the following verses. So Hebrew it is. It never says Aramaic.
John 19:19-20
19 And Pilate wrote a title, and put it on the cross. And the writing was Jesus Of Nazareth The King Of The Jews.
20 This title then read many of the Jews: for the place where Jesus was crucified was nigh to the city: and it was written
in Hebrew, and Greek, and Latin.
Acts 21:39-40
39 But Paul said, I am a man which am a Jew of Tarsus, a city in Cilicia, a citizen of no mean city: and, I beseech thee, suffer me to speak unto the people.
40 And when he had given him licence, Paul stood on the stairs, and beckoned with the hand unto the people. And when there was made a great silence,
he spake unto them in the Hebrew tongue, saying,
Acts 22:1-2
1 Men, brethren, and fathers, hear ye my defence which I make now unto you.
2 (And
when they heard that he spake in the Hebrew tongue to them, they kept the more silence: and he saith,)
Acts 26:13-15
King James Version (KJV)
13 At midday, O king, I saw in the way a light from heaven, above the brightness of the sun, shining round about me and them which journeyed with me.
14 And when we were all fallen to the earth, I heard a voice speaking unto me, and saying in the Hebrew tongue, Saul, Saul, why persecutest thou me? it is hard for thee to kick against the pricks.
15 And I said, Who art thou, Lord? And he said, I am Jesus whom thou persecutest.