The striker moved to Barcelona in 2014 and the former Sunderland boss believes it played a big part in Rodgers eventual exit.
The Uruguayan joined the La Liga champions in the summer of 2014 after an impressive three and a half years at Anfield.
He has since gone on to become part of a deadly trio alongside Lionel Messi and Neymar, winning La Liga and the Champions League last season.
In contrast, Liverpool have struggled to replace the Uruguayan, with a poor start seeing Rodgers lose his job to Jurgen Klopp earlier in this campaign.
And Poyet believes if he hadn’t left, Rodgers would still be in charge at Anfield.
“I just wanted to demonstrate the significance of Luis Suarez on the pitch. I wasn’t going against Liverpool.”
"His departure has cost Liverpool a lot. Among other things, probably Brendan Rodgers’ job. Maybe if Suarez was still playing for Liverpool, Brendan Rodgers would be the coach today.”
Even if Suarez had stayed at Liverpool, it is hard to imagine Rodgers would have been a long-term manager at the club.
The failure to win the league obviously had an effect on the side, as did the extra games in the Champions League, meaning they could have struggled again even with Suarez in the side.
Rodgers’ failures in the transfer market would also have still gone against him, meaning the Uruguayan’s exit was probably only a small part of Rodgers’ exit.