The pair have tangled on social media in the past and Sutton poked fun at the WWE star after his appearance on a promotional video for BT Sport.
Rangers fan Drew, from Prestwick in Ayrshire, narrates the preview ahead of the Europa League last 16 against Slavia Prague – but Sutton branded it “embarassing” on Twitter.
He wrote: “Deary me one decent season in a decade and they are all out in force. Bit embarrassing this from little @DMcIntyreWWE in his speedos.”
McIntyre previously tweeted congratulations to the Premiership champions, and was backed up by his fellow global superstar Triple H.
In the stirring promo – where the Florida-based muscle-man appears to be wearing a Rangers away shirt, McIntyre says: “The fight for glory never ends. It’s a way of life.
“For Rangers Football Club our comeback is now complete. Glasgow is red, white and blue – we are the champions, our 55th title – done. Can you see us now?
"Now in Europe we dare to dream at fortress Ibrox en route to Gdansk, so a warning to all – Rangers are coming. For our road to greatness is eternal, our fight for glory, it never ends.”
Earlier this week Rangers kit-makers Castore also posted ‘Can you see us now?’ on billboards around the city celebrating the title win.
Rangers host Slavia with a Europa League quarter-final place at stake with the aggregate score 1-1.