Giggs has now played 768 games for United, 10 more than Sir Bobby Charlton, whose record he eclipsed on that famous night in Moscow last May.
"I want to stay at this club as long as I am wanted," he told MUTV. "I want to keep playing and scoring goals.
"But if I am anywhere near what Ryan has achieved when I am his age, I would be really pleased. The games he has played and what he has won is fantastic."
Rooney is just one short of 100 goals in club football and will try to reach his century when Hull visit Old Trafford on Saturday.
Not that he is too concerned about hitting three figures.
"To score 100 goals in club football would be nice but it doesn't really bother me," he said.
"Winning is the most important thing. I will look back when I have finished my career but I am only young. I want to score more than 100 and keep scoring, so it is no big deal."