Why was Peter's healing of the lame man in the name of Jesus Christ of Nazareth appropriate?
It was appropriate because Peter was continuing what Christ had been doing for three years. The healing was not by resurrection power but by the power of the Messiah, the Christ, the Lord Jesus of Nazareth, the Son of God. Acts 1:8 promised that Holy Spirit power would enable them to do what Jesus had been doing.
Les explains that the early chapters of Acts are an extension of Judaism—temple, worship, prayer at the ninth hour, and now the healing of the lame man. This healing was not on the power of resurrection but on the power of the Messiah, the Christ, the Lord Jesus of Nazareth, the Son of God. In Acts 3:6 Peter takes the lame man by the hand and says, “in the name of Jesus Christ of Nazareth, rise up and walk.” Les says this was absolutely appropriate because Peter was just continuing what Christ had been doing for three years. Acts 1:8 had promised that when the Holy Spirit came, they would have power—power to do what He had been doing. Jesus told the Twelve the Holy Spirit would not come until He left.
Then Peter said, Silver and gold have I none; but such as I have give I thee: In the name of Jesus Christ of Nazareth rise up and walk.