Solskjaer left the job as United reserve team coach to take over as Molde boss earlier this month.
Solskjaer said on Setanta Sports: “I have always had great visions.
“My goal is to win the title with Molde and I have a dream to manage Manchester United some time in the future.
“Some say I’m stupid to think like that, but for me it is quite natural. Who knows what happens in two, five or ten years?
“I could have taken a step up and been part of the team around the first team at United now. But I’m not interested in that, I want to be in charge.
“Should I return to United some time, it will be as boss. If things go wrong, I must take the blame. That’s how I want to have it.”