Pundit Chick Young has claimed Celtic should have appointed John Hughes as manager before he was snapped up by Ross County.
Current boss Neil Lennon is under pressure after a run of poor results, with suggestions that the likes of Eddie Howe could replace him.
But Young feels Peter Lawwell and the board should have looked a lot closer to home for the ideal man to take the club forward.
He insisted on BBC Radio Scotland : "If we take Neil out of the equation for a moment the one man who would have been salvation for Celtic I think was staring them in the face.
"And the work he's doing at Ross County has proven that.
" John Hughes, where Celtic are at the moment, would have been an absolutely perfect fit."
Hearts striker Steven Naismith was a guest on the programme and seemed rather baffled by the suggestion.
He responded: "If I'm honest I don't think the fans would have been happy with that.
"I just think on the back of Brendan Rodgers, the success they've had, the signings they've made... that's what Celtic have seen.
"They've enjoyed the football, winning the trophies, arguably not in Europe but that's where they've been.
"For me if they're moving on the manager they need to move back to that level.
"That's what's going to appease the fans.
"If you then go to a manager who has mainly managed in Scotland and been out of work for a while, I think they wouldn't have been happy."