Conte was sacked last week after he furiously criticised Tottenham's board and players following a 3-3 draw with Southampton just before the recent international break.
Assistant manager Cristian Stellini has been placed in interim charge for the rest of the season.
Conte recently branded Richarlison 'selfiish' after the Brazilian ranted about his limited playing time at the club.
Despite the friction that occured between the pair lately, Richarlison says he had not hands in the Italian's sacking.
Responding to the rumour on Twitter, Richarlison wrote: "Questioning and criticising me as a player for my performance is part of football and I get it.
"However, telling lies about me, I don't accept! I've always had a lot of respect for Conte and for all my coaches.
"He helped me a lot in my coming to Spurs and whenever we had a problem (even if it was public) we solved it based on conversation and professionalism – and this he can confirm.
"I wasn't a mutiny leader against him, it was quite the opposite. I'm sorry I didn't deliver as much as he expected of me and I didn't do enough for him to stay.
"When he left, I sent him a message thanking him for everything and wishing him the best [because] that's what he deserves!
"On the other hand, the journalist responsible for this awful lie did not even do the least which would be talking to my PR or listening to me. Bad professional and bad character!"
Richarlison is yet to score in 19 Premier League appearances for Spurs since his £60m move from Everton last summer.
