Leicester boss Puel hit out at the timing of City's move for Mahrez, claiming it was disrespectful to make an approach for a star player just 48 hours before the close of the transfer window.
"To make solicitation just one or two days before the end of the transfer window, I don't know if it's normal".
"We don't have a lot of players with the game quality of Riyad", said Puel.
"It was important to keep united with the players and the team - this is the most important thing".
The midfielder was back in the Leicester squad last weekend against Manchester City after a 10-day period of leave from the club following the breakdown of a proposed move to join Pep Guardiola's team. "It's important to look forward and prepare for an important game - an FA Cup game - and also a Premier League game (against Stoke) because we have good possibilities".
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However, Sky Sports report that City "began negotiations" over a week before the deadline, and Leicester "were open to discussing a potential fee" for Mahrez. I can't suffer this situation.
Captain Wes Morgan could be back in the Leicester squad after recovering from the hamstring injury that has kept him out since the turn of the year.
Mahrez is now in contention to return to Leicester's starting lineup to face Sheffield United in the FA Cup on Friday night.
And Puel says the Algerian has been accepted back by his team-mates after addressing them about his absence.
"It was a situation behind us, it was important Riyad gave his feeling in the dressing room, the details will remain inside the club", said Puel. "The story is behind him, all the players want to move on".