Mahrez is being chased by Arsenal and Chelsea during the January transfer window as the Premier League clubs look to strengthen their squads.
But despite suggestions a £50million bid for the wide man is imminent, Leicester boss Puel maintains his man is not leaving.
And he has told the 26-year-old to ignore all the talk surrounding his future and to remain committed to helping the Foxes until the summer.
Puel said: "I think it is important he keeps this focus and concentration until the end of the season.
"I am happy with him and I think he is enjoying his football. He is happy to play with this team.