The Cottagers prop up the Premier League table after a run of four straight defeats, but new midfielder Kvist believes his team-mates should be encouraged by United's poor home record this season.
The reigning champions have already lost four games at Old Trafford, and Denmark international Kvist insists Fulham have nothing to fear despite their perilous position.
"Teams have shown this season that it is possible to get points at Old Trafford," said Kvist, who made his Fulham debut in last week's 3-0 defeat to Southampton.
"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 sees head coach Rene Meulensteen return to the club he worked at for 12 years during two spells under Sir Alex Ferguson, and he refuses to bow to the pressure with Fulham 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."