Where did Luke preach?

Answer 1

Details on Luke's life are sketchy, but in some Bible dictionary's Luke is called an Evangelist. An evangelist was not a pastor or even a regular preacher, but a teller of the Gospel or the Good news of Jesus Christ coming to earth to die for the sins of mankind. Luke could have possibly spoke to individuals or small gatherings of people telling them the Gospel of Jesus Christ especially while traveling with Paul and inbetween that by just being a good witness for Jesus to unbelievers.

Answer 2

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Catholic AnswerThe Catholic Encyclopedia article on St. Luke covers this subject, below is one paragraph from it, you may read the entire article at the link below.

St. Luke first appears in the Acts at Troas (16:8 sqq.), where he meets St. Paul, and, after the vision, crossed over with him to Europe as an Evangelist, landing at Neapolis and going on to Philippi, "being assured that God had called us to preach the Gospel to them" (note especially the transition into first person plural at verse 10). He was, therefore, already an Evangelist. He was present at the conversion of Lydia and her companions, and lodged in her house. He, together with St. Paul and his companions, was recognized by the pythonical spirit: "This same following Paul and us, cried out, saying: These men are the servants of the most high God, who preach unto you the way of salvation" (verse 17). He beheld Paul and Silas arrested, dragged before the Roman magistrates, charged with disturbing the city, "being Jews", beaten with rods and thrown into prison. Luke and Timothy escaped, probably because they did not look like Jews (Timothy's father was a gentile). When Paul departed from Philippi, Luke was left behind, in all probability to carry on the work of Evangelist. At Thessalonica the Apostle received highly appreciated pecuniary aid from Philippi (Philippians 4:15-16), doubtless through the good offices of St. Luke. It is not unlikely that the latter remained at Philippi all the time that St. Paul was preaching at Athens and Corinth, and while he was travelling to Jerusalem and back to Ephesus, and during the three years that the Apostle was engaged at Ephesus. When St. Paul revisited Macedonia, he again met St. Luke at Philippi, and there wrote his Second Epistle to the Corinthians.