The United legend is now tasked with leading his beloved club in his first full season as manager.
Solskjaer knows there will be a lot of expectation and pressure from fans and pundits.
But he believes that such pressure does not compare to the high standards he sets for himself.
Solskjaer told Norwegian TV station TV 2: "I don't care about the outside pressure and I do very well without it but internally at the club we have requirements, we have standards, but I think that I am the one who demands the most from myself and my players.
"I've always been that way. I am never completely satisfied, but then I never get completely down to the rim if things go bad either.
"You have to cope with both hardship if you are to survive in this club."