Sarri has fallen foul of accusations regarding his conduct in Italy, with Roberto Mancini accusing his compatriot of using homophobic language during a Coppa Italia quarter-final between Napoli and Inter Milan in 2016.
The former Partenopei coach also apologised earlier this year for taking exception to a female reporter's question at a post-match press conference and replying: "You're a woman, you're pretty, for those two reasons I won't tell you to piss off."
Having reassured the Blues hierarchy during his talks over the job, Sarri told reporters at his first press conference: "I think those who know me well cannot define me in this way; homophobic and sexist. Absolutely not.
"I am an extremely open person, I do not have these kind of problems. I hope I will show this when I am working here and living here.
"These mistakes were made, yes, but when someone makes a mistake they must apologise and accept some allegations can be made by the press.
"Professional and ethical attitude is very important. More than apologies, I hope you will have the chance to get to know better and forget about this very quickly."
Sarri is the 13th managerial appointment by Blues owner Roman Abramovich since his takeover of the West London club in 2003.