The 40-year-old admits he has not played as much as he would have liked this season and is hopeful his performance against Olympiakos in midweek can change that in the near future.
David Moyes' men overcame a 2-0 deficit from the first leg of their Champions League last-16 tie with the Greek champion after a hat trick from Robin van Persie, with Giggs also starting and playing a key role in the victory.
The 40-year-old admits he would enjoy a more prominent role in the United setup, having featured just 11 times in the Premier League this term.
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"I hope so, yeah, I have probably not played as much as I would like in the last few months but hopefully," the Welshman told reporters. "I think the team [against Olympiakos] had a mixture of a lot of things: pace, experience, power. That's what Manchester United is about and we showed that. We showed what we are capable of."
However, Giggs did warn that United's poor performances this season could lead to a long-term decline if the club is not careful.
"Well, you can see why people are saying that because we haven't produced it this season on a regular basis," Giggs said. "I know from experience what these players are capable of and a lot of them have been written off. I think there is a lot of quality within the dressing room. We showed it [on Wednesday] and we have to show it more consistently.
"We have just been not consistent enough. And not produced football like we have [against Olympiakos]. We are capable of it so that's the disappointment. I see every day in training what the lads are capable of and they have not transferred that into the games and we need to do that."