Darmian was sold by Solskjaer last summer to Parma.
But he told the Guardian: “I can only speak well about Solskjaer, believe me.
“I would give him a long-term contract. He's a very prepared coach and Manchester United has started this project, this journey, with many young players, many British players and they will continue with this project.
"Because of the person I got to know, I hope Solskjaer has success at the club."