Full rant is transcribed here:
Conte press conference: My players were selfish
What he was saying was a bit broken english, so people will probably hyper-focus on one sentence, but his point was about player power. He was basically saying the players are lazy nobheads but the managers take the responsibility and everyone protects the players.
It was clarified a bit more in a later interview:
From his home in Turin, the Italian discusses Subbuteo, style, his toughest moment and managing Chelsea and Tottenham in his first interview since leaving Spurs
web.archive.org
Not really a matter of player quality in his complaints, but all about attitude. I think he felt that the players knew they could just ignore him like they did Mourinho, and that they would ultimately last longer.
There was also this:
Listening to how little the players like VDV seemed to care about finished 17th or losing all those games really highlights that it is still a thing. Conte would have gone apeshit about the attitude
For me, it would be dangerous to just assume we can replace a manager and then that's it. It has been 4 years, maybe longer, that were kicking the can down the road with the squad issue. In some ways, the "good news" is that there's basically no one of sentimental value left, so there shouldn't be an excuse to just do major surgery