The controversial incident has raised its head time and again, but Rodgers wants Suarez to forget about the past and focus on the new season for Liverpool.
"Luis probably still feels a little bit of injustice about last season, but for me the message is that we have to move on," he is quoted as saying in The Independent.
"We have to move forward. What's happened has happened and let's let it go now, however hard it is.
"We want to be winning games and doing our best for the football club."
Liverpool will begin their Premier League campaign with an away game against West Bromwich Albion on Saturday August 18.