The striker scored 31 of his team's 101 Premier League goals last season but joined the Liga giants in a £70 million move earlier in July.
Raheem Sterling scored the only goal on Sunday as Liverpool beat Olympiacos, taking advantage of Daniel Sturrdige tame effort at goal, while Lazar Markovic impressed in spells during his debut.
"I see it in the players that scored 70-odd goals last season. It's very simple," Rodgers told reporters. "Luis Suarez isn't a Liverpool player so I don't need to talk about or reference Luis Suarez.
"I'll just worry about the players I have, who showed in enough games last season and the season before, when we didn't have Luis, that we can score goals. That won't be an issue."
Rodgers said Sturridge, who scored 21 league goals in 2013-14, was ready to take another step up, while he praised Sterling and Markovic.
"I've seen a difference in Daniel since he came back," he said. "He has obviously got confidence from the World Cup and his season last year.
"I think he's ready to take on the mantle. He got 20-odd goals last season so he's a striker of great value.
"Markovic will only get better and better. He showed great strength when he burst through and hopefully later on when he picks up that speed and sharpness in his game, he'll go on and finish that.
"We've got good speed. Raheem Sterling is always a threat - he's a joy to watch. I thought those three were really exciting."