However, Pogba - who could still leave despite last Thursday's English transfer deadline day as most European leagues keep their transfer windows open until the end of August - professed his deep love for the club.
"If he upsets too many players because of his way, then ultimately he will lose his job like he did".
"I don't think there's any question that a player would say that under Fergie because you'd have been finished".
Mourinho appeared to unsettle Pogba with comments during the World Cup, and the player's agent Mino Raiola reportedly tried to engineer a move to Barcelona for his client with two days of the English transfer window remaining.
"Every team is a good team, forget the name, forget the history, forget the shirt". The Reds will be desperate to be closer to neighbours Manchester City this season, after Pep Guardiola's team finished 19 points ahead of the Reds last term. For us it will be a hard season because I had my plans, and I had my plans for many months, and I started the Premier League season without a situation I thought. It's over, the market is closed.
"We have big coaching staffs and I think we are more the head coach than the manager".
Quite how such sentiments will be received by the United hierarchy remains to be seen.
The midfielder, 25, won the World Cup with France in the summer and scored in United's 2-1 win over Leicester in Friday's Premier League opener.
Mourinho was vocal in his opinions on the club's business over the summer, and it has been reported that United are now set to make huge changes behind the scenes.
Sharing a picture of his goal celebration on both Twitter and Instagram, he wrote: "I'll always give my best to the fans and my teammates no matter what's going on".
Mourinho left no doubt as to how much he valued Pogba's efforts on the night, adding: "Paul was fantastic - his contribution was wonderful".
Shaw got the start, which would have been nerve-wracking for him.