The Norwich striker is currently on loan at Turkish Süper Lig club Çaykur Rizespor with doubts surrounding where he will be playing next season.
The 27-year-old moved to Rangers for £3 million in 2008 from Burnley, and failed to make a major impact in his four years in Glasgow, where he was in the spotlight more for his off the ball incidents than his footballing ability.
Lafferty decided not to transfer his contract from Rangers to the new company set up by Charles Green and moved to FC Sion as a free agent, but he feels he has unfinished business with the club he supported as a boy.
Speaking in the build-up to Northern Ireland’s friendly against Scotland, the striker admitted his desire to return to the Light Blues, according to the Daily Record.
“Some Rangers fans have asked me if I’d go back there and I’d jump at the chance,” he said.
“But whether that’s an option or not is another thing. What happened for me at Rangers was disappointing.
“That wasn't how I wanted to end my career there. But it had to be done. I've supported Rangers since I was a young boy and still support them now. It would be good to go back to change people’s perceptions of me.
“If I went back now I’d let my football do the talking. Hopefully that would change their minds of me.”
Rangers currently have a clutch of strikers with Kris Boyd, Kenny Miller, Jon Daly and Nicky Clark at the club, but Lafferty could potentially offer the goals the others have been lacking if he can replicate the form he has shown for Northern Ireland in their European Championship qualifiers.
Lafferty has previously been quoted in February 2015 saying in the Belfast Telegraph that returning to Norwich was his end goal, so his recent comments may come as a surprise to his parent club.
A loan deal would be the only way for Lafferty to return to Ibrox, with Rangers not in any sort of financial position to afford the transfer fee Norwich would expect for the striker who is in the first year of a three-year contract.