“Now they which were scattered abroad upon the persecution that arose about Stephen travelled as far as Phenice, and Cyprus, and Antioch, preaching the word to none but unto the Jews only. And some of them were men of Cyprus and Cyrene, which, when they were come to Antioch, spake unto the Grecians, preaching the Lord Jesus. And the hand of the Lord was with them: and a great number believed, and turned unto the Lord.” Acts 11:19-21 (KJV)
There was a problem with the salvation of the Gentiles, of which we read in chapter 10. Peter’s defense is read in 11:1-18. The Jewish apostles, and brethren had that problem. There was no Biblical difficulty, if they were willing to see it, because God intended that all the nations know “He is the LORD” (a theme mentioned throughout the Old Testament).
Due to the persecution of the Church at Jerusalem the Christian community was spread to other countries, and areas on the map. It was how the Spirit of God was moving.
Those being persecuted did not cease preaching the gospel; rather they kept on preaching, but only to the Jews, in synagogues as God allowed it. The gospel was given first to the Jew and also to the Greek [Gentiles] (Romans 1:16; 2:10). The “Grecians” would be the “the Greek speaking non-Jews” MacArthur Study Bible. That would mean Gentiles. They too were hearing message of the gospel of Jesus Christ; which God has meant for all to hear.
When “The hand of the Lord was with them” they prospered and grew in great number. We must be sure when we are seeing a growth that it is of God. That there are truly regenerated people coming into our congregations, and not just an entertainment seeking, soft skinned, self made gods, but truly turning to the One who saves us from sin, and gives us eternal life.
Turn to the Lord, and live. Reject Him and perish. You reject Him by refusing to believe what He has said.