Peter reminded them of what they knew about Jesus.

Acts 10:34-38

34 So Peter began to speak [MTY] to them. He said, “Now I understand that it is true that God does not favor only certain groups of people. 35 Instead, from every group of people he accepts everyone who honors him and who does what pleases him. 36 You know the message that God sent to us Israelis. He proclaimed to us the good news that he would cause people to have peace with him because of what Jesus Christ has done. This Jesus is Lord not only over us Israelis. He is also the Lord who rules over all people. 37 You know what he did throughout the land of Judea, beginning in Galilee. He began to do those things after John had been proclaiming to people that they should turn away from their sinful behavior before he baptized them. 38 You know that God gave [MTY] his Holy Spirit to Jesus, the Man from Nazareth town, and gave him the power to do miracles. You also know how Jesus went to many places, always doing good deeds and healing people. Specifically, he was continually healing all the people whom the devil was causing to suffer. Jesus was able to do those things because God was always helping him.”