The Uruguayan striker was in great form against West Brom on Saturday, scoring twice in the first half and once in the second, before Daniel Sturridge wrapped up the 4-1 win.
Suarez recently returned from a 10-match ban for biting, and had reportedly asked to leave Liverpool in the off-season following a bid from Arsenal.
But the 26-year-old looks to back to his best for the Reds, and his first hat-trick at Anfield was the cause of much delight for his manager.
“It was a difficult summer for him but it was for everyone and we managed as a club and he has managed himself well and he has come out the other side performing as he always done,” Rodgers says.
“I knew once I had got the commitment from him in the summer he has been great.
“He is a tireless worker and I knew if he stayed it was going to be the case of working in training as he’s always done.
“I thought the front two were brilliant. Suarez’s first goal was exceptional, we really exploited the space in front of their centre-halves and he showed wonderful invention and creativity to nutmeg [Jonas] Olsson before taking his shot early.
“The second was a good team goal, I thought we moved it well, the cross came in early and he’s guided the header in fantastically well.
“His third goal is from a great ball from Steven [Gerrard] and he could’ve had more after hitting the crossbar.
“It was his first hat-trick here at Anfield, I think you have seen his commitment to the team and what we are trying to do.
“It was a wonderful performance. Magic.”