The Uruguayan striker was back in Premier League action on Sunday, scoring two goals in the Reds' 3-1 win at Sunderland, after serving a 10-match ban for biting Chelsea's Branislav Ivanovic last season.
Suarez, who made his first appearance of the campaign in the midweek Capital One Cup loss to Manchester United, was the catalyst for Liverpool's fourth league victory this term and his mental strength was hailed by his boss.
"He is not fazed by much. He has a remarkable mentality. His determination, the steel in his mindset, is phenomenal," said Rodgers.
"He is just so focused and for us, he is like a new signing, really, coming back into the team.
"It's great for the team and it's great for the supporters. Our supporters deserve to see someone of that quality, but his talent deserves to be out on the field rather than sitting in the stand, and that's something that we are working very hard in order to make sure that happens this season."