Chivu joined the Nerazzurri in 2007 from Roma, but he maintains that he's not been able to prove himself in his preferred role.
"I'm a centre-back," he told Sky Sport Italia. "Try playing Douglas Maicon in the middle or Walter Samuel at full-back and see how they get on
"I play as a left-back in times of emergency. Perhaps I should have made that clear in my first year here, but it's too late now.
"Playing as a full-back for four years has been difficult for me because it is not my role. A lot of things change for me."
The stopper added that he thought he had been offered a new lease of life after the club hired 3-4-3 boss Gian Piero Gasperini in the summer.
"I worked as a centre-back under Gasperini," he noted. "In three months I got back the desire I had lost in four years."