The France international has grown disillusioned with life at Old Trafford and wants to leave this summer.
Real Madrid and Juventus are keeping tabs on the situation as they each consider making a bid.
United’s executive vice-chairman Ed Woodward has told Pogba that he will not be allowed to depart.
But the player hopes that making a personal plea to Solskjaer will help smooth his exit three years on from his return to the club.
United signed Pogba for £89m in 2016 and will demand at least £120m for the World Cup winner.
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