The FA of Wales fiercely oppose their players featuring for Team GB at London 2012.
But Arsenal midfielder Ramsey, 20, said: "If we have the opportunity to play, why not? You're representing Great Britain in the Olympics.
"Having the chance to win a gold medal doesn't come around very often.
"Players should go ahead and do it — I don't see what the problem is.
"I've spoken to Gareth and he's up for it. I think the Welsh are fine with it."