Jesus sent all His disciple to the gentiles including Peter:
Matthew 24:14, “And this Good News of the reign shall be proclaimed in all the world as a witness to all the nations, and then the end shall come.”
Acts 1:6-8, " 6 So when they had come together, they asked him, “Lord, will you at this time restore the kingdom to Israel?” 7 He said to them, “It is not for you to know times or seasons that the Father has fixed by his own authority. 8 But you will receive power when the Holy Spirit has come upon you, and you will be my witnesses in Jerusalem and in all Judea and Samaria, and to the end of the earth.”
Luke 24:44-49, “44 Then he said to them, “These are my words that I spoke to you while I was still with you, that everything written about me in the Law of Moses and the Prophets and the Psalms must be fulfilled.” 45 Then he opened their minds to understand the Scriptures, 46 and said to them, “Thus it is written, that the Christ should suffer and on the third day rise from the dead, 47 and that repentance and forgiveness of sins should be proclaimed in his name to all nations, beginning from Jerusalem. 48 You are witnesses of these things. 49 And behold, I am sending the promise of my Father upon you. But stay in the city until you are clothed with power from on high.”
Acts 15:6-7, “So the apostles and the elders met to consider this statement. After a lengthy debate, Peter stood up and said to them, “Brothers, you know that in the early days God chose me to be the one among you through whom the Gentiles would hear the message of the gospel and believe."
Only Paul says differnt and everyone siddes with Paul not Jesus:
Galatians 2:7-8, “In fact, they saw that I had been entrusted with the gospel for the uncircumcised, just as Peter had been entrusted with the gospel for the circumcised. For the one who worked through Peter by making him an apostle to the circumcised also worked through me by sending me to the Gentiles.”