The former Manchester United striker scored two goals to receive the Man of the Match award but feels the Australian goalkeeper was best afield after saving a second-half penalty from Loic Remy.
"I think you should give (the man of the match award) to (Schwarzer), or I will be giving it to him in the dressing room, because it's not the first time he's saved a penalty,” Berbatov told Sky Sports.
"He's a great goalkeeper and without him I don't think we were going to win this game."
Berbatov scored twice in the opening 25 minutes before a Clint Hill own-goal gave Fulham a three-goal lead but Adel Taarabt and Loic Remy gave the R’s a glimmer of hope prior to Cottagers midfielder Steve Sidwell seeing red in the 79th minute.
Apart from the penalty, Schwarzer made a handful of other vital saves as Fulham stayed in tenth spot on the Premier League table whilst QPR remained second bottom and are in increasing danger of relegation.