The 30 year old attacker has had the best of seasons at the Canaries, failing to really hold down a regular spot in the side and scoring just five goals across the English Championship campaign.
Naismith won six trophies at Ibrox in his spell at the club before leaving acrimoniously in 2012 to seek a career in the English Premier League.
The Scotland international now faces being without a club with Norwich reported to be willing to come to a mutual agreement with him in order to free up wage resources.
Despite not exactly leaving in the good graces of Rangers fans five years ago, many of the Ibrox loyal are willing to put them behind them and welcome him back.
He is still a quality player of course and the club needs all the help it can get right now.
Supporters took to Twitter to share their thoughts on the move…
I know it's all rumours but if we are offered the chance to sign Steven Naismith I'll personally drive him back to ibrox!
— Stuart Sutherland (@suddy72) May 3, 2017
@stuartmccoll10 Miller done a lot worse in my eyes and look how he's regarded at ibrox. Would take Naismith in a heart beat compared to what we have
— The Bhuna (@KHampton1872) May 4, 2017
I want Steven Naismith back
— Iain (@IainMitchell17) May 2, 2017
Take Steven Naismith back in a heartbeat at @RangersFC without a shadow of a doubt, 10x better than anything we have!!
— Nathan Dorrian (@Dorrian20) May 3, 2017
I'd have Steven naismith back in a second….if he pays us to play! If he gives his signing on fee from Everton into club
— crossy (@stevencross10) May 3, 2017
If Kenny Miller can re-join Rangers after playing for Celtic and get accepted by the fans, I'm sure Steven Naismith can do the same.
— Thomas (@Thomas1872_) May 2, 2017
Football is a cynical and fickle sport – if Steven Naismith re-signed for Rangers he would instantly be one of the best players we have.
— Garry Carmody (@GarryCarmody) May 3, 2017