Rodriguez was included among the nominees for FIFA's player of the tournament award after scoring six goals in Colombia's five games, most memorably a superb volley on the turn against Uruguay in the last 16.
Beckham said: "His goal for me was one of the best of the tournament - as a young player, to have that thought, the way he moved into the ball, the way he turned and struck the ball.
"I've heard about him quite a few times and people told me he was a great talent, but to come on to the world stage at his age and play the way he's played, says how talented he is.
"I think he's got a great future. He's such a talented player and he's a good-looking kid as well, he's got the whole package."
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