The Frenchman has returned to United following his participation at Euro 2020.
PSG have courted Pogba, who is out of contract next summer, but Solskjaer is confident he will stay at Old Trafford.
The Norwegian said: "I hope every player thinks this is the place to be to win trophies.
"When you sign for Manchester United, you have to rise to the challenge.
"Paul has come back and he's fresh and he's always such a positive boy. The talks I've had with him have all been positive."
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