Reports in the Turkish media had linked all three clubs with rejected bids for the striker, with Fenerbahce understood to be wanting to wait until the summer.
Canatar said: “Muriqi has a four-year contract agreement with Fenerbahce, we are of course delighted that some of the top clubs in Europe are interested in Muriqi and scouting him.
“But we are not considering a transfer in January there is a zero percent chance he leaves.
“We have been contacted by interested clubs I left these matters with Damien Comolli [ex-sporting director] and now with Selahattin Baki.”
Muriqi has 12 goals and four assists in 17 league starts this season.