The 21-year-old joined the Red’s from the Bunesliga side for €12 million.
“I had a super time in Leverkusen and it was definitely the right decision to go from Bayern to there because in Munich I hardly played,” Can was quoted as saying by ESPN.
“But with all due respect to Leverkusen, Liverpool are another step higher. Liverpool are a bigger club and you can feel the history of the club.”
Despite Can’s comments Bayer reached the Champions League quarter-finals last season and are in the group stages this season while Liverpool are in the Europa League.
Rogers has however, been sacked as Liverpool manager and Germany coach Jurgen Klopp was recently appointed as his replacement.
The 21-year-old is currently on international duty with the Germany national team and is one of three players of Turkish origin in the side – the others being Mesut Özil and İlkay Gündoğan.