The Red Devils produced a stunning 5-0 victory over second-placed Bundesliga club Bayer Leverkusen at the BayArena to book their spot in the knockout stage of Europe’s premier club competition.
Giggs, who turns 40 on Friday, was thrilled to be part of such a dominant performance and felt United were capable of scoring even more heavily.
"I think our speed (was the difference)," Giggs told Sky Sports 2.
"The first goal (scored by Antonio Valencia) was a good example; quick play. It was a pleasure to play behind our front four."
He added: "We could have scored more.
"But we can't be too greedy. To score five anywhere in Europe is a great result.
"Going into a game knowing a win puts us through is a carrot and the five goals and a clean sheet is a bonus.
"It was a pleasure."
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