Manchester United would have to pay a world-record fee to sign Maguire according to Leicester, though the 'Foxes' have no interest in letting one of their star players leave.
Claude Puel wants to hold on to Maguire, 25, as the club has already seen a top talent depart for a 'Big Six' club this season. Algerian winger Riyad Mahrez joined Premier League champions Manchester City for an outstanding £60m earlier this summer.
"For me it's good for Leicester to keep a valuable player, and it's important to show good ambition for the next season." Puel said.
"I can understand some speculation about our player because he has good attributes, but I am happy to keep him and hopefully start a great season.
"We lost Riyad Mahrez, who was a very good player for us. After Riyad it was important to keep our players and add some good players to strengthen the team."
Maguire impressed for England at the World Cup this summer, gaining recognition across Europe after his header against Sweden in the quarter-finals.