Cordon only arrived in the principality 12 months ago after ending a 17-year association with Villarreal in La Liga.
La Liga giants chase Ceballos
He had been linked with Paris Saint-Germain and Chelsea but opted for Monaco and oversaw Leonardo Jardim’s side winning the title and reaching the Champions League semi-finals last term.
Since the end of the 2016-17 campaign Monaco have sold Bernardo Silva and Valere Germain, while a host of their young stars are tipped to follow them.
Kylian Mbappe, Tiemoue Bakayoko, Benjamin Mendy, Fabinho and Djibril Sidibe have all been linked with big-money moves away from the club.
Cordon will be tasked with keeping hold of their prize assets - or selling them for the best price and finding replacements - before he leaves his post.
Cordon has himself been linked with a switch to AC Milan in Serie A.