A trip to the reigning champions would usually be met with trepidation by the current bottom side but, with United having already lost four times at home this campaign, Denmark international Kvist knows Fulham can target coming away with something.
"Teams have shown this season that it is possible to get points at Old Trafford," he said.
"Of course that will give us a little bit of confidence but we will have to focus on ourselves. At the moment we can't look at anybody else, we need to have all of our concepts clear. It is not a great situation at the moment and I think everybody is aware of that."
Kvist moved to Fulham on a loan deal from Stuttgart late in the January transfer window and was joined by Johnny Heitinga, Lewis Holtby and Kostas Mitroglu on deadline day.
Now the 28-year-old is confident that, with a little hard work, Fulham's squad now has the ability to achieve Premier League survival.
"There is actually a lot of quality in the team and then bringing in new people as well will get the energy started again, and the belief that we can do this," he added.
"We need to work hard as well as compete and we just have to take one step at a time. It can't get any worse at the moment and we have 14 games left in the Premier League and that's a lot of points ahead of us.
"There are a lot of possibilities and we have to be very focused in every game. Getting our new guys into the team, I think we'll make good performances in the next couple of months."
The trip to Old Trafford will not only be a big moment in Fulham's season but it will see head coach Rene Meulensteen return to the club he worked at for 12 years during two spells under Sir Alex Ferguson.
The 49-year-old Dutchman has struggled to have an impact since taking over from compatriot Martin Jol at Craven Cottage but he refuses to accept he is under pressure as Fulham sit four points from safety.
"People keep saying there's pressure," he said.
"I don't see it as pressure - it is a challenge, that is what it is. Life throws challenges at you and that is what you need to deal with, you need to accept the challenge and rise up to the challenge. That is what we do.
For us it's another game against a very strong opponent where we've prepared very well. We need to get our act together and hopefully we can get something out of it."
Meulensteen will welcome Holtby and Kvist back into his side after they missed the FA Cup fourth-round replay defeat to Sheffield United on Tuesday evening while Heitinga could make his debut, although club-record signing Mitroglu may not be fit enough to feature at Old Trafford.