The Uruguayan international was playing his first game for the club since completing a 10-match suspension that he received for biting Chelsea defender Branislav Ivanovic during a Premier League match last season.
"I thought Luis Suarez was excellent. You could tell he'd been out for a long time as he tired at the end. But he's obviously a threat" BBC Sport quotes Rodgers as saying.
"I think adrenaline gets you over the line in the first game. But he's a fighter. He's so determined and will get ready for the weekend."
Liverpool visit Sunderland in the Premier League on Sunday.