The 20-year-old Dane has been linked with Inter, Juventus, AC Milan and Liverpool after impressing at Palermo in his first season at the club.
“I will definitely stay at Palermo, I have a contract with the Rosanero and I will respect it,” Kjaer said.
“I would once again like to thank the Palermo fans who have supported me and continually spurred me on this year.”
