Solskjaer believes Sancho will become a star over "15 years" as he is currently "learning how to play in the Premier League".
Solskjaer said: "He's learning all the time.
"As I said in training as well, he's learning our methods, he's learning the Premier League and of course, he knows the Champions League already from being at Dortmund.
"He's a young boy, he's only 21 and he'll improve. We signed him as we see a top forward for 10, 12, 15 years and I've not changed my mind on that.
"He's so clean on the ball and is enthusiastic to learn and that is such a big thing when you come to Man Utd.
"You're always going to get a chance and you play with some of the best players in the world, you're getting some fantastic coaching with the coaches I've got too."
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