Solskjaer won the league title with the Norwegian minnows and also took the club into the Europa League knockout round.
Mhyre told VG: "Of course, they see Norway as a small football nation and probably judge him a little because he is Norwegian. But Solskjær had experience as a manager in Cardiff and an enormous experience as a Manchester United player and knew what he was going into. He knew the environment inside and out.
"Everyone who is allowed to be a coach in a club over time, gains experiences that make him safer in the setting, and when you get results, the players become more confident that the coach has something to contribute.
"That Solskjær has grown in the role since his first day at work, should really only be missing. This applies to everyone, regardless of whether you come from Molde or the Bundesliga or Italy or lower divisions in England."
Myhre added: "When Ole Gunnar went to United, he was a better coach than they thought. I do not think he does so much differently now than when he came - and he won football matches even then."