The London Olympics will be the first time Team GB have competed in the men's football competition since 1960.
However, 38-year-old Manchester United midfielder Giggs sees no reason why 2012 should be on the last Games at which Team GB goes for football glory.
He said: "The different FAs may have opposed it, but people who I have met face to face have been nothing but positive.
"I am not a politician, but from what I have experienced, I just hope fellow British footballers can experience what I have."
Giggs added: "I hope it is not a one off and that in future Olympics there will be more Great Britain teams.
"Both Craig and I are Welsh and proud of it, but for me it was a chance I could not turn down, of playing in the biggest sporting event in the world.
"I am glad I have done because so far everything has gone great and hopefully that will continue."