The goalkeeper has been in impressive form this season, including a fabulous penalty save on Tuesday night, and his performances has reportedly sparked the interest of Jose Mourinho.
Schmeichel, however, insists that even if there were any truth in the rumours, he would choose to stay in the East Midlands.
"Being mentioned in the same sentence as Real Madrid is an honour, but that's as far as I've heard," said Schmeichel.
"People have been calling me and texting me but I'm not focusing on that.
"I'm very happy here where I'm playing week in, week out and can't ask for more than that."
Leicester's 1-0 victory over Brighton kept them on top of the Championship table, and only their midweek opponents have conceded fewer goals in the division.