Giggs played for England Schoolboys before going on to represent Wales over 60 times in his illustrious career.
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But the Manchester United midfielder was never eligible at a senior level and has corrected those who believe he should have been an England player, rather than feature for his country of birth.
"There was a lot of confusion about the situation because I played for England Schoolboys," he told the Team GB website.
"Then, because of the problems England had on the left of midfield, people would say to me 'you should have chosen England'. But I was never able to choose England."
While Giggs has been part of a dominant Manchester United side throughout his time at Old Trafford, the 38-year-old has never taken part in an international tournament with Wales, and is eagerly anticipating the opportunity at the London 2012 Olympics.
He added: "My career for my country has obviously been the total opposite to the one for my club.
"I've been so successful with United but not so with Wales.
"I would always watch the other lads, especially those ones I grew up with, go away on international tournaments and wish that I could do the same."