Solskjaer confirmed the Chilean would be joining Inter on a permanent basis after spending this on loan at the San Siro.
United advanced to the Europa League quarter-finals after beating LASK on Wednesday, and speaking after the game, Solskjaer was asked about Sanchez.
"Yeah I believe so and I can confirm that," he told BT Sport.
"Alexis has had a good time over there, he's a good player and we wish him all the best."
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