Following the 31-year-old's acceptance of a four-match ban for racially abusing Anton Ferdinand, the club boss has raised doubts over the defender's future as skipper
The 31-year-old accepted a four-match ban from the Football Association for racially abusing QPR defender Anton Ferdinand on Thursday.
And Di Matteo has now raised doubts over whether Terry will retain the captaincy on his return to the first-team fold.
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Terry will now miss Saturday's game against Tottenham, a Premier League and League Cup tie against Manchester United before the trip to Swansea on November 3.
The independant panel branded the defender as "not a racist" but were "satisfied" that he used abusive words in an insulting manners.
Terry released an official statement on Thursday to explain his decision: "After careful consideration, I have decided not to appeal against the FA judgment.
"Although I'm disappointed with the FA judgment, I accept that the language I used, regardless of the context, is not acceptable on the football field or indeed in any walk of life.
"Looking forward, I will continue to do my part in assisting the club to remove all types of discriminatory behaviour from football. I am extremely grateful for the consistent support of Chelsea FC, the fans and my family."