The veteran winger, who recently agreed a new contract at Old Trafford, is currently 27 games short of Charlton's landmark of 759 appearances for the club.
"It will be a great personal honour," said Giggs.
"To play so many games for the club you have supported all your life and pass the total of probably the greatest player the club has ever had would be brilliant.
"It is something I don't really like talking about until it has happened, but given that the landmark is getting close, it would be great to do it."
The former Wales international, who turns 34 later this month, also accepts he will now be given a more regular rest by manager Sir Alex Ferguson.
He added: "Sitting out the occasional match is something I have come to terms with.
"At 33, you can't play every game, but I should get the benefit towards the end of the season, when I hope to still be fresh and on top of my form.
"Getting these breaks and the odd rest doesn't just prolong your career, it keeps you fresh for the games you are involved in."