Neil Lennon returned to Celtic on an interim basis after Brendan Rodgers quit the club for Leicester City in February.
Lennon is arguably the more fiery of the two as far as managerial styles go.
McAvennie claims he heard that the Northern Irishman shouted at one of his players during a training session, before the unnamed Hoop offered an incredible response.
He told The Open Goal podcast: "There’s a lot happening that I’m hearing. I’m going to tell you something that will shock you.
"I got told that Lenny was shouting at one of them and the player said, ‘Brendan never shouted at us’. If that’s the case, football’s gone."
If true, it is quite a shocking thing to say. It suggests that Rodgers wasn't hard enough on the Celtic lads during his stint.
Then again, he was a roaring success at Parkhead, winning seven of a possible seven domestic trophies.
If Rodgers wasn't as successful as he was then you could argue that being too soft was a negative, but back-to-back domestic trebles indicates that his methods worked just fine.
Lennon, who took over from his compatriot when the Bhoys were seven points clear of Rangers in the Premiership, got Celtic over the line as the team clinched an eighth successive league title earlier this month, while a Scottish Cup final with Hearts awaits next week to see if they can do the Treble Treble.
Have something to tell us about this article?