The France international has been at the San Siro since the summer of 2015 when he joined from Monaco for around £25m.
The midfielder has had a mixed time in Italy since then and he recently hit the headlines after he scored a bizarre own-goal against Chelsea during a friendly.
But, according to Gazzetta dello Sport, Kondogbia may well now end up in England as he has asked to leave Inter.
The 26-year-old is reported to have told the Italian club that he wants a change of scenery.
The news will be of interest to both Liverpool and Tottenham, who have been linked with the Frenchman in the past.