The Argentina international stunned world champions Germany on Wednesday with three assists and a goal of his own in a 4-2 win in Dusseldorf.
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"Angel is a fantastic player," he told reporters. "I love the way he plays, I really do. I'm excited to be a team-mate of his."
Falcao completed a loan move to Old Trafford on deadline day, which surprised many, but the striker has revealed talks between United and Monaco were ongoing for some time.
He continued: "I'm very proud to be at Man United.
"We've been in talks with the club for some months and in the end we were able to meet an agreement with Monaco on the last day of the transfer deadline."