The Reds climbed back into second place in the Premier League table after collecting their seventh victory in 11 games.
They never looked like coming unstuck at Anfield on Saturday, with Fulham run ragged for the vast majority of the 90 minutes.
Rodgers was understandably delighted with the display afterwards, especially as it came on the back of last weekend's disappointing 2-0 reversal against fellow high-flyers Arsenal.
He told Sky Sports: "It's great credit to the players, I thought the performance was outstanding today.
"We weren't too down. You are obviously disappointed when you lose a big game, but Arsenal are probably one of the form teams in European football.
"We have had a real good week's work and the players and their appetite for the game was brilliant. If you mirror that with the quality, it was a really outstanding performance.
"I thought the goals were outstanding. I have always thought that Steven Gerrard, since I have come in here, his quality from a dead-ball - you look at him and David Beckham as two players who are way above anybody else in terms of quality.
"I have always felt with our players that they haven't scored enough goals from his deliveries, because he puts it exactly where you want him to put it. We have started to do that a lot more regularly."
Deliveries from Gerrard brought Liverpool's opening two goals, before they kicked on to add two more and secure a first clean sheet in nine outings.
On the importance of that shut-out, Rodgers added: "We said at half-time, the message was to keep the coordination as a team.
"We can still be relentless in our pressure to score more goals, but we wanted a clean sheet today. That was something that was important, so we got everything in the performance. It was a good three points for us."