Peter is not talking to Gentiies. Read it .
14¶But Peter, standing up with the eleven, lifted up his voice, and said unto them, Ye men of Judaea, and all ye that dwell at Jerusalem, be this known unto you, and hearken to my words:
22¶Ye men of ISREAL , hear these words; Jesus of Nazareth, a man approved of God among you by miracles and wonders and signs, which God did by him in the midst of you, as ye yourselves also know:
Acts 3 .
12And when Peter saw it, he answered unto the people, Ye men of ISRAEL , why marvel ye at this? or why look ye so earnestly on us, as though by our own power or holiness we had made this man to walk?
Acts 4
8¶Then Peter, filled with the Holy Ghost, said unto them, Ye rulers of the people, and elders of ISRAEL ,
10Be it known unto you all, and to all the people of ISRAEL , that by the name of Jesus Christ of Nazareth, whom ye crucified, whom God raised from the dead, even by him doth this man stand here before you whole.