The Reds extended their unbeaten streak to a seventh match in some style at Craven Cottage, twice coming from behind before eking out a 3-2 victory courtesy of Gerrard's stoppage-time penalty.
"Steven is peerless in many aspects of football," the Liverpool boss said of his captain.
"He was brilliant against Arsenal, dictating the game, playmaking from behind and his pass for the first goal here.
"He has that penetration he has shown all his life and then his composure at the end was not by accident. He studies the goalkeeper, which way he dives, so that professionalism is still there.
"There's no greater person than Steven Gerrard to take a penalty right at the end to get the three points and he tucked it away really well."