The Scot has praised the efforts of his former striker after he won the league championship in his homeland, and feels he has the attributes to be a fantastic coach
The Old Trafford hero completed his title success with Molde in his maiden season with the club and has been linked with management roles at a number of Premier League and Championship outfits.
However, Sir Alex believes Solskjaer will be best served remaining in Norway for the time being as he develops his management skills.
"It's possible Ole coming back to manage [in England] one day," he told reporters. "It depends when. I don't think he should rush into that.
"His experience is good experience at Molde, a very good one. He comes from the area and his wife and family are all back home. He's won the championship so there's no need to hurry with that.
"The time will come. Timing will be important for him but he's capable of coming back to English football."
The 69-year-old also revealed he prematurely contacted the Norwegian to offer his congratulations for his achievement.
He added: "It's fantastic and we're all pleased for him. The players have all been in touch with him yesterday. Actually, I texted him on Saturday but didn't realise they had to win it on Sunday!
"He had a good spell with us for the reserves so he wasn't going into the job blind but it's a fantastic achievement considering it's his first year and we're all pleased with him.
"He's a student of the game, it was quite clear as every game he played for us and every training session he took part in, he always wrote it all down. It tells you of his dedication to learn the game, he's also very meticulous, and it gives him a great start.
"There's a real concentration and sacrifice for the job and you need that going into management these days.
"Ole was a great player and a very nice person so I think players will respond to him and we wish him well."