Leicester City are aiming for Premier League experience from their next manager.
The Foxes are currently bottom of the league with one point from seven matches.
According to The Sun, two names who are floating to the club's list of possible replacements are Mauricio Pochettino or Rafael Benitez.
Pochettino has not worked since leaving Paris Saint-Germain in the summer, after winning Ligue 1 last season.
Benitez did an exceptional job at Newcastle United for several seasons, which will appeal to Leicester.
However, they first must decide if they will give Rodgers more time or pull the trigger on his axing.