Pogba and Mourinho have clashed at Manchester United this season with their relationship at its lowest ebb yet.
The France star was signed by Mourinho from Juventus in the summer of 2016 and all was rosy as the club won the Europa League and EFL Cup last season.
However, Pogba has fallen down the pecking order in recent times with youngster Scott McTominay often preferred in his place.
And Neville has urged the Manchester United midfielder to focus more if he is to salvage his Old Trafford career.
He told Sky Sports: “Paul Pogba has got the character and personality to play for United, there’s no doubt about that.
“He’s played in the biggest matches in Europe at a huge club in Juventus.
“What he has got to do is perform consistently. Some will say it is down to the position he plays, while some will say it is his lack of concentration and focus.
“It is never a matter of a black and white in the sense that there’s always a player’s reason and always a manager’s reason, but as I look at it he needs to play with higher levels of concentration.
“Everything about Manchester United is a crisis.
“Every time they lose a game – like against Sevilla – everything is a crisis and there is no reasoned level being applied.”
Another player whose United career is in doubt is Luke Shaw.
And Neville thinks he needs to find consistency to be a United hit.
“What I would say about Shaw is that the talent and ability are there, but his job as a footballer is to be prepared to perform every day and do every single thing in his life well to be a United player,” he said.
“At the moment, his potential is not being recognised.
“I’ve got a great belief in Luke Shaw and the reality is it would be a great shame if he leaves United without fulfilling his potential.
“There’s a lot of players out there with less ability but maximising their potential and I just hope he can get there.”