Keane insisted there was "no meaning" in the Old Trafford midfielder's words, also slating Pogba's poor work-rate and leadership.
Before watching United's 2-0 derby defeat to Man City on Wednesday, Keane accused the French World Cup winner of having a "big problem" and playing for himself.
Nottingham Forest No2 Keane told Sky Sports: "I wouldn't believe a word he says.
"There's no meaning behind his words. I don't even think he believes it himself.
"He's talking about being a good teammate. If you want to be a good teammate then you have to run back and defend.
"He said it got a bit heated – I heard they were actually throwing their hair gel at each other, it got that heated.
"The guy is a talented boy. But it's the same things over and over again and the number of times I've seen him where he isn't running back.
"He's talking about body language and throwing his arms in the air – hes a big problem for United."
The Republic of Ireland hero continued: "You need good examples and senior players. Hes a mature player and hes won big trophies and I don't think he leads by example from what I see.
"I don't know what he is like in training or off the pitch but he mentioned body language and pride, I don't see it in his performances and my eyes don't lie to me.
"He's a talented player but you need more than just talent. We talk about the real top and great players, they make their team and their teammates better. He doesn't do that. He plays for himself."