Both sides came away with a point though and United have yet to win a game to nil.
Solskjaer acknowledged the possibility of Real Madrid taking an active interest in the World Cup victor and perhaps even mounting a publicity campaign to try to sign him.
"Who knows? Hopefully he can be available for Chelsea or [Manchester] City but I'm not sure". Also, the performances of the player may have played a catalyst role in giving Solskjaer a big summer transfer budget. "He always gives his best".
Solskjaer, who takes his team to Barcelona on Tuesday looking to overturn a 1-0 deficit from the first leg of the Champions League quarterfinal, rested Marcus Rashford, Victor Lindelof and Scott McTominay ahead of the Camp Nou clash and it looked like the move might backfire until Pogba sealed victory 10 minutes from time. There have been different players in different periods that have made the difference. It's not just about Paul.
"He had his highest ever output physically on Wednesday night against Barcelona, he'd never ran as much in a United shirt". Given Manchester United's fine run of form under the Norwegian, prior to those two defeats, few were surprised at the decision but the run of indifferent form appears to have continued since he signed on the dotted line. "That was brilliant. The effort and attitude is there".
"We have a certain standard here", he said.
"You want to see players step up and say now, 'I want to be part of this'".
Amid the reported interest from Real Madrid manager Zinedine Zidane, Pogba is said to be growing disillusioned by the vision and direction of the club - which has allegedly caused strain in the relationship with the new head coach.
Usually dependable De Gea's poor throw was read by Declan Rice and West Ham broke, with quick build-up play leading Manuel Lanzini to lift a cross to the far post for unmarked Anderson to squeeze home.
West Ham games don't produce an abundance of goals as a rule and away from home, matches involving the Hammers have seen three or more goals scored only 38% of the time this season.