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The Sky Sports pundit hasn't had a managerial job since 2011 and has since only held assistant jobs, the last of which was with Nottingham Forest in 2019.
However, according to the Sun, Keane is ready to make his return to management with the Scottish Premiership side if the call comes.
The former United midfielder ended his playing career at Celtic Park, having left Old Trafford half way through the 2005/06 season, and won the title and League Cup north of the border.
Keane reportedly turned down the chance to manage the Glasgow side in the past but is now ready to take on the challenge.
That would of course mean the opportunity to come up against former Liverpool foe Steven Gerrard, who has just led Rangers to their first title in 10 years.
According to the report, the Irishman could be the perfect fit for what the Hoops are looking for in Neil Lennon's replacement.
The Parkhead club are happy with the current coaching set up and are looking for someone to lead them as a 'figurehead,' having not managed in 10 years, since leaving Ipswich Town, Keane doesn't have a coaching team he'd want to bring with him.
The 49-year-old has ties to the club as a long time follower of the Bhoys, as well as having played for them for six months.
Wages at the club would likely be good enough to tempt the Sky pundit away from the studio, where his rants and chemistry with other pundits, especially Micah Richards, have made him completely box office.
Keane's record as a manager is certainly 'mixed.' He took over at Sunderland in 2006, from chairman turned interim manager Niall Quinn, with the club in the relegation zone after an early season run of terrible form.
He led the Black Cats back into the Premier League as champions later that season, inspiring an incredible turnaround at the Stadium of Light.
The following season he kept Sunderland in the top tier, as they finished 15th, but just three points clear of relegation.
He led the club to their first win over rivals Newcastle United in 28 years in his second season in the top flight but was sacked in December 2008 after a poor run of form.
Keane next managed Ipswich but success was far harder to come by for the former Republic of Ireland captain and he wasn't able to lead them anywhere close to promotion back into the Premier League.
Featured Image Credit: PA