When the centurion heard about Jesus, he sent some Jewish elders to ask Him to come and heal his servant.
Some difference there is between this story of the cure of the centurion's servant as it is related here and as we had it in Mat 8:5, etc. There it was said that the centurion came to Christ; here it is said that he sent to him first some of the elders of the Jews (Luk 7:3), and afterwards some other friends, Luk 7:6.
Commenting on Luke 7:1-10
And when he heard of Jesus,.... That he was come, as the Ethiopic version adds, into the city of Capernaum; or of his miracles, which he had done there, and elsewhere: he sent unto him the elders of the Jews: in whom he had an interest, judging himself, being a Gentile, very unworthy and unfit to go himself, and ask a favour of so great...
Elders of the Jews - These were either magistrates in the place, or the elders of the synagogue which the centurion had built, Luk 7:5. He sent these, probably, because he was afraid to come to Christ himself, not being a Jew, either by nation or religion.