Conte left Spurs on Sunday by mutual consent a week on from an extraordinary rant in which he criticised his own "selfish players" following a 3-3 draw at Southampton.
Richarlison, who was injured during the dramatic St Mary's clash, was later accused by a journalist from Argentinian broadcaster TyC Sports of giving an ultimatum to Tottenham alongside club team-mate Cristian Romero over Conte's future.
But the Brazil international rejected those allegations on Thursday.
"Questioning and criticising me as a player for my performance is part of football and I got it," Richarlison said on Twitter.
"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 (sic) coming to the 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.
View this post on InstagramA post shared by Antonio Conte (@antonioconte)
"When he left, I sent him a message thanking him for everything and wishing him the best cause 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! And shame on you, TyC Sports!"
Richarlison is set to miss Tottenham's first match since the departure of Conte, what would have been his return to Everton on Monday, with a minor muscle injury.