The player has yet to make a final decision on his future, despite positive talks with the club this week.
Real Madrid and Paris Saint-Germain are being talked to by the camp of Paul Pogba.
He will not be able to play for United at Crystal Palace tomorrow and may have played his last game for the club.
He is a doubt for France's Nations League games next month as he continues to recover from a calf injury.
Since last summer, the Frenchman has not received a contract offer from United and is set to leave the club on a free transfer.
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Sky Sports News has been told that staying in the premier league has not been ruled out by the France international, and that his final choice will be a football decision.
It is not likely that he will be offered more money by a European club than United were willing to pay for him.
The Times reported on Friday that the player had agreed personal terms with Manchester City but turned them down because he was worried about the backlash from Manchester United fans.
Sky Sports reported last month that the reaction of the United fans who booed him when he was taken out of the game hurt him.
After running down his contract at United, he joined the first team in order to join the Bianconeri.
In his first season back at Old United, the Frenchman won the League Cup and the Europa League after rejoining the club for a world record fee.
He has won the World Cup and Nations League with France, but not at club level.
After their relationship deteriorated, it appeared as if the United exit was close.
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The pair were filmed having a confrontation during training, as well as being prevented from captaining the club.
However, the squad was reintegrated into by Solskjaer after the dismissal of Mourinho.
The club will end the season empty-handed because of the injury to Paul Pogba, who has only 21 starts this season.