Mahrez failed to attend training for the third time this week on Friday and is out of Puel's squad as the fallout from his failed move to Manchester City continues.
Puel refusued to comment on whether the club had fined the player with a £200,000 two-weeks wages rap expected to be implemented.
Mahrez "was the subject of multiple offers from the Premier League leaders", says the news website, "with the last of those understood to be a player-plus-cash offer worth an estimated £65m".
At a press conference, the 56-year-old told reporters: "The club took the decision for the best interest of Leicester, we needed to respect this decision".
Leicester boss Claude Puel has said he will not pick Riyad Mahrez for Saturday's clash with Swansea and revealed his star man needs to "clear his head" after failing to secure a transfer to Manchester City.
Image copyright Getty Images Image caption Claude Puel has said he hopes his side can stay united after Mahrez's transfer falling through.
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But the BJP and the Prime Minister are committed to passing this bill to do justice to Muslim sisters and mothers, he said. This will help in augmenting the drinking water supply to Hubballi-Dharwad and districts of Belagavi and Gadag.
He tried to force the issue by submitting a transfer request only to see a final deadline day bid of around £60m fail to shift the Midlands club.
'His team-mates wait for Riyad to come back.
"I have a good relationship with Riyad and now we have to manage this situation as professionals". He can also have a good ambition with us.
"It's a tough situation for us and all of this is a situation we need to manage but all of the details will stay inside the club".
Riyad Mahrez will not play in Leicester's Premier League match against Swansea today after missing training for a fourth consecutive day. "I hope he can come back quickly with us, and with a smile and happy to play with us".
Could Riyad Mahrez be heading for Manchester City?