The Frenchman was alienated by Jose Mourinho towards the end of the Portugueses reign at Old Trafford and was an unused substitute in his final game at Anfield last Sunday.
United broke the world transfer record to sign Pogba in 2016 in a move that saw the Frenchman return to the Theatre of Dreams.
Solskjaer managed Pogba when he was in the reserves in the clubs academy and the Norwegian says hes keen to revive the midfielders career.
Hes a World Cup winner, said Solskjaer.
Paul is a terrific lad and I had him (when I was reserve-team coach) as a kid. He was always there, the happy-go-lucky lad.
He hasnt changed personality-wise. Hes a better player, of course, and hes one that I want to get the best out of.
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Pogba is expected to be instantly reinstated to the side against Cardiff with Solskjaer likely to play an attacking 4-4-2 system.
Romelu Lukaku will miss the next two matches after being granted compassionate leave by the club in a decision made before Solskjaer arrived.