From the Old Testament:
Isaiah 7:14: “Therefore the Lord himself will give you a sign: The virgin will be with child and will give birth to a son, and will call him Immanuel.”
Isaiah 9:6: “For to us a child is born, to us a son is given, and the government will be on his shoulders. And he will be called Wonderful Counselor, Mighty God, Everlasting Father, Prince of Peace.”
There are many names given to Jesus using the phrase “He shall be called,” both in the Old and New Testaments. This was a common way of saying that people would refer to Him in these various ways. Isaiah prophesied of the Messiah, “His name shall be called Wonderful, Counselor, The mighty God, The everlasting Father, The Prince of Peace” (Isaiah 9:6). None of these titles was Jesus’ actual name, but these were descriptions people would use to refer to Him forever.
In the same way, to say that Jesus would be called “Immanuel” means Jesus is God and that He dwelt among us in His incarnation and that He is always with us. Jesus was God in the flesh. Jesus was God making His dwelling among us (John 1:1,14). No, Jesus’ name was not Immanuel, but Jesus was the meaning of Immanuel, “God with us.” Immanuel is one of the many titles for Jesus, a description of who He is.