The former United striker has transformed the mood and results at Old Trafford, leading the club into the Champions League quarter-finals and lifting them into contention for a top-four finish in the Premier League.
"You have to give a lot of the credit for that revival to Solskjaer and that's why I believe he has to get the job".
Solskjaer laid into their slow, laboured style of football - which former boss Jose Mourinho was heavily criticised for before being axed in December.
"I want Ole to stay". "The results have been great". Solskjaer deserves it. He knows the club, he knows everything about the club.
That success in France was particularly remarkable because the squad was missing 10 first-team players through injury, and influential midfielder Paul Pogba was also suspended for the tie.
This, though, was a performance that rolled back the months to the Mourinho era and was arguably worse than some of the displays turned in under the Portuguese.
Pogba reportedly fell out with Mourinho in the early part of the season and lost his place in the starting line-up after being stripped of the vice-captaincy. "We can not let it go like this", Matic was quoted by Metro UK as saying.
"Yes, we talked about it a bit", he said. I like to talk about the future because that's what matters.
"Chelsea, Arsenal and Tottenham will give their best to be in the top four".
The Norwegian said his side have "got to go again" after the worldwide break as they bid for a top-four finish in the Premier League and face Barcelona in the Champions League quarter-finals.