Puyol announced this week he was leaving Barca.
"If he wants to come and play in the United States then he would be very welcome," Henry told ARA.
"Should he want to come it would be great. It would be good for the league because it is always good to have players like him.
"I remember the game in the Bernabeu when we won 6-2 and he scored with his head and kissed the captain's armband. It was a very special moment."
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