It marked Palace's first win at Old Trafford for the Premier League era.
"There is always a first time" Van Aanholt emphasised. "I think we have played well and that we have earned three points."
He added: "We knew in advance that they would have the ball and that they would look for the attack. We worked on that all week.
"In the peace and quiet we knew we would not lose. We wanted three points."
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