England coach Roy Hodgson was at Wembley to see Britton help Swansea win the Capital One Cup.
"You never give up hope of playing for your country," said Britton.
"All I have got to do is concentrate on playing well for Swansea and if something was to ever come up it would be a dream come true.
"It is out of your hands really. Leon Osman has been playing in the Premier League since he came through the ranks, which is a lot longer than myself."