Conte, who played for Juventus under Ancelotti, a Chelsea League and FA Cup victor in 2010, used an expletive in relation to the same reports.
"They are trying to create problems between me and the club and the players".
"I can accept this but to put another person (Holland) in this way I think this is incorrect and it is not good that this person has to send me a message to tell me, 'I am sorry but this is not true".
The Sun have taken down a story claiming that certain Chelsea players have been in contact with former assistant manager Steve Holland to complain about Antonio Conte.
He said: "There's a lot of bulls***".
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"When you have been injured, you hope for a goal on your return and, thankfully, I got that", he said.
"If I see in the past it also happened with other managers, a lot of bulls**t".
"I can accept that they write the club is ready to sack me, and accept stories with the players, but to use another person in this way is not correct. I'm ready. But don't put another person [in it], I hate this kind of situation".
"Yes, yes, yes I am in touch with Carlo he is my friend but he doesn't mean nothing".
Chelsea have not started the season in the same ascension as they showed last season, with defeats to Burnley and Crystal Palace contributing to them being nine points adrift of leaders Manchester City.
Midfielder N'Golo Kante could be back for Tuesday's return game against Roma in Italy, the manager added.
'Carlo is my friend i have great respect for him, he was my coach at Juventus'.