The former Manchester United captain has made it clear that he would be keen to play in the Great Britain football team at the 2012 London Olympics and the 'Gers duo would love the opportunity to be involved with the England great.
"[Beckham] is a worldwide superstar because of his ability and to play alongside him would be a dream come true," said Hutton.
"Obviously if the chance came along to be picked for Team GB it would be a great achievement for me.
"It is the whole event, everybody knows about [the Olympics]."
Wylde added: "I haven't been called up to the Scotland squad yet and hopefully if I play this season I will be called up. But if I do get called up to Team GB it would be good for me and my career ahead."