United have been linked with the centre-back, who starred for England in their run to the semi-finals of the World Cup, although Leicester are reportedly trying to convince him to sign a new contract.
And Puel, who also hopes to keep Denmark's World Cup star Kasper Schmeichel, insists staying at King Power Stadium is the right move for 25-year-old Maguire.
"It is important for Maguire to continue for Leicester," said Puel.
"It is a good feeling. If our players are interesting a lot of clubs it is because we are recruiting well and doing good work. It is important we continue this.
"When we welcome players back from the World Cup, I hope we can give them the opportunity to continue advancing their ambitions and perform in the Premier League."
Maguire's former Leicester team-mate Riyad Mahrez, though, has suggested the defender should follow him through the exit door.
"Of course he deserves to play higher but Leicester is a good club as well, so it is him that will have to decide," said Mahrez, who joined Premier League champions Manchester City this month for a £60 million ($78m) fee.
While Maguire and Schmeichel have been tipped to leave Leicester, the club have signed former Norwich City defender Louis Ramsay.
The 20-year-old confirmed the move in a social media post.