Dave King has told the official Rangers YouTube channel that Stuart McCall does have a chance of being manager next season.
McCall, 50, took over from Kenny McDowall upon King's arrival at Ibrox in March, and has so far lost just once - and now has Rangers edging towards the Scottish Championship play-off final.
On Wednesday night, Rangers beat Hibernian 2-0 at Ibrox thanks to goals from Nicky Clark and Kenny Miller, giving themselves a comfortable advantage heading into the second leg at Easter Road on Saturday.
A final against Motherwell is just one step away for Rangers, but question marks remain over the head of McCall given that he is only on a contract until the end of the season.
Recent reports from the Daily Mail have suggested that Rangers are eyeing up a move to bring Brentford boss Mark Warburton to Ibrox this summer as their new manager, suggesting that there may be plans to move on from McCall despite his impressive record so far.
However, King - who was cleared by the SFA as a 'fit and proper' director this week - has told the official YouTube channel that McCall would certainly be in the running to be manager next season if he gets the club promoted, whilst also admitting that he would be conducting interviews from applicants outside of the club, again bringing doubt into McCall's future.
"I think, absolutely, if Stuart gets the club into the Premiership it will be very difficult not to look at him," said King. "If he gets us through the play-offs, it will be an immense achievement given what he inherited. But when you are looking for a manager long term, I think it is important you sit down and have a different type of discussion."
"You are looking at a three or four-year programme where he is essentially going to have to completely rebuild a squad for himself as opposed to coming in to a caretaker job with someone else's squad. I think it is very important that whoever comes in goes through a process where they make representations to the club in terms of their credentials, their philosophy about football and how they see them acquiring players and developing them," he added.