"Winning the FA Cup was one of my first memories as a United player," said the 39 year old.
"The competition was huge for me growing up and still is and we have so many players here who are desperate to win it.
"You want to be challenging on all fronts given the strength in depth we've got. But we are quite keen to avoid a replay because we've got a lot of games coming up."
If Saturday's game were to end in a draw, it would almost certainly be played on the weekend reserved for the fifth round - in between the two Champions League ties with Real Madrid.
"We realise tomorrow will be a difficult game," said Giggs. "Fulham did well when they came to Old Trafford earlier in the season and we're going to have to be at it right from the start."