He also claims that other Premier League stars are keen to take part in the London Games.
"It is something that everyone strives for - to experience new things throughout your career - so the Olympics would be different," said Cleverley, 22.
"For a young English player, it is an exciting summer of football with the Euros and Olympics, and I would be proud to represent at either of those.
"Having the chance to have an Olympic gold medal in your trophy cabinet would be unbelievable - a lot of the players are talking about it.
"I always looked up to David Beckham when I was young. To play alongside him would be great."