The Welsh winger will captain the Great Britain team when they return to Olympic competition after a gap of 52 years, starting with their match against Senegal at his United home ground of Old Trafford on Thursday.
"It would be up there, definitely. I don't like to prioritise any trophies or medals because they are all good feelings, it's always a challenge no matter what you have won before," Giggs said.
"This is a big challenge because of the quality that is there in the tournament."
He added: "Obviously I'm looking forward to it. I've enjoyed every bit of the preparation so far. To be involved in a tournament at this point in my career is something I am excited about."
"As a footballer you don't start off thinking you'd like to win a gold medal in the Olympics, you set out to win leagues and cups and European cups and hopefully we'll get the chance to go a long way."
Giggs said it would be an unusual sensation to play at Old Trafford for a team other than United, for whom he has been a mainstay for nearly 15 years.
"It will be strange but I have done it once before, when Wales played England here," he said.
"It was strange that day because we were in the away dressing-room but fortunately we are in the home dressing-room this time. It will be different for me."