Suarez added his second to make it eight in the league this season and had it not been for goalkeeper Maarten Stekelenburg the scoreline would have been a whole lot better.
"I thought we played very well. Our appetite for the game was outstanding," he said.
"We had a hunger to get the ball and we had more than 30 shots on goal, it was a real dominant performance, very pleasing."
The Reds boss also paid tribute to captain Steven Gerrard who, after being criticised for not being able to influence the game at Arsenal, had a hand in all four goals.
"Steven's delivery is as good as it gets. No-one delivers a ball like Steven Gerrard," he said.
"I felt that the other players were not utilising the quality we had in the team in his delivery and so I asked them to be more aggressive when they attack the ball and to get across their defender.
"Every week I tell him where I want him to put the ball and he puts it there.
"You saw with two of our goals - the free kick and the corner (for the own goal and Skrtel's header) - there was incredible quality on his deliveries."
Gerrard was restricted by a hip problem at the Emirates and he was withdrawn after 67 minutes with the game won against Fulham but Rodgers does not think it will be an issue for the forthcoming England internationals.
"He obviously has had an issue with his hip," he said.
"Where I can rest him I will and we obviously had enough control of the game to do that.
"I think he is obviously a modern, seasoned professional at the top level so where he can get those little breathers it is important to get them.
"I haven't spoken to the medical people but he should be fine."
- Sports & Recreation
- Martin Skrtel
- Steven Gerrard
- Luis Suarez
- Maarten Stekelenburg