Coyle has worked closely with Scotland in the past.
"I know Jason well from when I was player-coach at Dundee United and at St Johnstone," said the Wanderers boss.
"I even played with him there when he was in a bit of a dry spell to try and help him out.
"He is a very good player and a great lad. He scored more than 50 goals for me in two seasons.
"His contract was coming to an end and other Premier League clubs were looking at him but Swansea were keen and I said to Jason I thought it would be best for him to come to England show his qualities.
"I got £25,000 for him at the time. He would have gone for nothing a month later but I was quite insistent that St Johnstone got something."