Leicester are yet to win in either of their games without AWOL Mahrez and have slipped to eighth amid mounting fan anger at the farce.
Puel said: “I hope Riyad can get his head right and come back with us and see the best way is to come back and enjoy his football.
“Riyad is a magnificent player and he loves football and his relationship with his friends and team-mates. He needs to come back and play and to touch the ball.
“I hope he can come back and work hard with the team sooner rather than later.
“He is a great player , the bad thing for me is he loves football - it is not just a player playing football like work."