Manager Sir Alex Ferguson has indicated there could be a role in his backroom staff for the former Wales captain when he hangs up his boots.
While Giggs is taking his UEFA 'A' coaching licence in June, winning more medals at Old Trafford is his main goal.
The 34-year-old has made 746 appearances for the club, only 13 short of Sir Bobby Charlton's record mark of 759.
"I am just concentrating on playing at the moment.
"I have done my C and B coaching licences and enjoyed it. So we will see how it goes in the summer.
"If you enjoy it then it makes sense to go on and try and be a coach or a manager."
Ferguson has already promoted Ole Gunnar Solskjaer from the dressing room to the boot room.
The veteran boss has earmarked senior players like Giggs, Gary Neville and Paul Scholes to follow suit.
That is why Giggs will spend part of the close season in Aberystwyth doing his 'A' licence, under the control of the Football Association of Wales.
He said: "The manager took his coaching badges at an early age and had them all when he was in his 20s.
"He has always said to us to try to get our badges while we are playing as it helps you as a player.
"A few of us are doing that and hopefully we will go on and become fully qualified."