But Blues chairman Bruce Buck had revealed before the game that the club's internal punishment of Terry would extend only to a 'very heavy fine' and not see the player stripped of the captaincy.
And Di Matteo endorsed the move whilst insisting the decision lay with the board.
"The board made a decision and I respect the board's decision and I support that decision," he said.
"Ultimately they are the board and they make the decisions in the best interests of the club. I have an input and we had conversations, but they decide."
Gary Cahill, drafted in at centre back as Terry's replacement and scorer of his side's first goal, insisted his team-mate has the full backing of the Blues squad.
"It's fantastic. We'd didn't expect any other outcome," Cahill said. "He's been the captain for many years and long may it continue. We're happy with that."
Cahill's comments were reinforced by Juan Mata - scorer of two goals against Spurs on Saturday - who said: "For me he is a great team-mate and we are always happy to share our training sessions and games with him."