Varane struck in last night's 3-0 defeat of Brentford.
He later said: "I'm very happy. It was a very emotional game because it was our last game at Old Trafford this season.
"The first goal is always an important moment for a player who arrives at a new team. It has been an incredible feeling."
At Real Madrid, Varane scored 17 goals in 360 games.
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