The R's recorded their third consecutive win at Loftus Road on Wednesday night with a convincing 3-0 victory over Swansea City.
The result has moved Rangers two points clear of the relegation zone.
"If we carry on playing like we have been doing at home, I'm convinced we'll be fine," Hughes told BBC Sport.
"There are going to be twists and turns, but that will happen at the top and the bottom.
"We've just got to get on with our business, and if we can do that we can be a match for anyone."
Hughes's side next travel to West Bromwich Albion in the league on Saturday.