Di Matteo worked alongside Villas-Boas during his troubled time in charge at Stamford Bridge and says there was no fall-out between them and he did not attempt to stab the Portuguese manager in the back in helping hasten his departure.
Some reports have suggested Di Matteo may have conspired against Villas-Boas, but the Italian has blasted the rumours.
"I did my best and Andre knows it," Di Matteo told Eurosport.
"I did not conspire against him and all the decisions we took, we took together.
"I have always behaved with the utmost professionalism and loyalty towards the club, the staff, the team and fans."
Di Matteo, who has guided Chelsea to four wins out of four since replacing Villas-Boas, believes he deserves his chance of managing the Blues until the end of the season.
"I deserve my new role," added Di Matteo. "How can you hesitate when you have the opportunity to manage one of the most important football clubs in the world?
"All new managers inevitably replace a colleague when things go wrong or results are not up to expectations. This is the nature of football."
He also confirmed that John Terry will miss the match at the Etihad Stadium on Wednesday.
Blues captain Terry has been feeling the strain of playing twice in four days following his remarkable recovery from knee surgery.
Caretaker manager Roberto Di Matteo is confident the defender will be fit for Saturday's game with Tottenham.