Solskjaer left the World Cup winner on the bench from the start in the game against Tottenham, but Pogba won the penalty for United's equaliser, converted by Bruno Fernandes, with a sublime piece of skill to bamboozle Eric Dier.
Pogba has been beset by ankle injuries this season, making just nine appearances, and has been heavily linked with a move away from Manchester.
"Paul always has a point to prove because he wants to be the best," said Solskjaer. "He's had such a frustrating season with his injuries. For me Paul has shown today how he can contribute. I just look forward to getting him fitter so he can get back to his best."
A point does little for either side's chances of breaking into the top four.