The Football Association published a 63-page report on Friday which explained that the regulatory commission found Terry's explanation for using the words "f*****g black c***" towards Anton Ferdinand was not credible, and his defence was "improbable, implausible and contrived".
Chelsea have a firm policy to tackle discrimination and in May banned one of their supporters for life after he admitted racially abusing Didier Drogba from the stands.
Given Terry still has until October 18 to appeal against the FA's punishment, the club are reluctant to comment on the matter, but Di Matteo did endorse Terry's character and say he remains captain heading into the weekend's match against Norwich.
“I haven’t had the chance to read the document. I will, yes,” said Di Matteo.
“From my judgement on this man, I’ve known him for many, many years since we played together and I have never had any doubt about the fact that his comments would be of any kind of discrimination against any other ethnic party.
“We have to wait until the process is finished. At the moment he is our captain and he is available to play and that is the situation.
“He’s been outstanding for us. I judge the players on what I see, when they play."
When asked whether it was ever acceptable to use the word 'black', Di Matteo replied: "We have to improve on respecting other in general. It doesn't matter where you come from or what colour skin you have. It is about respecting the opposition."