The Foxes could undergo another change in management, with Puel facing the axe after a bad run of form in 2018. Things looked good for the French manager when he first took over from Craig Shakespeare in October.
With five wins in his first eight games in charge, it looked like Leicester had made the right decision in giving Puel the reigns at the King Power stadium.
However, the Mirror report that Leicester have been looking for potential suitors to take over ahead of next season after a poor run of form, with claims that Huddersfield boss Wagner is their main target.
Wagner is in his third season as manager of the Terriers and he won many admirers last term after guiding the Yorkshire club into England's top division for the first time in 45 years, whilst also having one of the smallest budgets in the Championship at his disposal.
A bad run of form has resulted in only two wins in their last 12 Premier League fixtures, and the East Midlands side are thought to be looking to appoint a fourth manager in less than 18 months.
Puel's style of football has been unpopular with the players and the fans, an issue that arose when the 56-year-old was in charge at Southampton. And with the Foxes having lost four of their last five fixtures, the Frenchman's future at the King Power Stadium has become very uncertain.
The ninth placed side were booed off by their fans at the end of both halves in their defeat to West Ham at the weekend. And fans are seemingly calling for their boss to be axed, as Puel was subjected to chants of 'You don’t know what you’re doing’ and 'Sacked in the morning'.
The 46-year-old is contracted with the club until 2019, but 16th placed Huddersfield are yet to confirm a place in the Premier League next season. With two games to go, against Liverpool and Arsenal, Wagner's side sit three points clear of the relegation zone.
If Huddersfield do get relegated, the Terriers could have a challenge on their hands to keep hold of the well respected German manager.
But, after earning a draw against league champions Manchester City at the Etihad on Sunday, Wagner's side have shown they certainly have the fight in them to pick up points in their remaining fixtures, as they battle to secure a second season in the top flight.