De Bruyne left Manchester City for Napoli on a free transfer last summer, but endured a difficult debut season in Italy under Conte before the head coach departed and was replaced by Allegri.
Speaking to Corriere dello Sport, the Belgian was direct about his own approach to the game.
"I always choose the truth: I like playing good football and I said that even before I arrived. I will never change who I am, that's what makes me the player I am. That's me," he said.
De Bruyne went on to explain what had made the relationship with Conte difficult.
"Conte is very rigid, more focused on the professional relationship. Football, football, football. He only thinks about football. There's no personal connection with the players," he said.
"Allegri, on the other hand, is a bit more relaxed, more informal, and from what I've seen he places more importance on the personal bond."
The 35-year-old also addressed speculation linking former Manchester City teammate Gabriel Jesus with a move to Naples, expressing hope the two could be reunited.
"What does he bring? Quality. Quality in attack, in build-up play and in possession. He's probably a profile we don't have, unlike Rasmus or Lorenzo. If he arrives he can help us. Even with his experience: he knows how to win. That's important, we'll see what happens," De Bruyne said.
Jesus's contract at Arsenal runs out next summer, meaning any move to Napoli would likely have to wait, though De Bruyne's public backing signals the level of interest already building around a potential reunion.
The comments arrive at a good moment for De Bruyne personally: he scored his 199th career goal in Napoli's opening-round 2-0 win at Genoa, a strike that came with some controversy attached after a coming-together with defender Johan Vasquez in the build-up. Asked whether he felt he had committed a foul, De Bruyne was characteristically unbothered by the debate.
"I think it's fifty-fifty. It depends on what angle you're looking at. From my point of view, I was coming from one side and he came towards me. Either way, I was a bit surprised, but it's part of the game. People talk a lot, it doesn't interest me," he said.
Now in the second year of his contract at Napoli, De Bruyne appears to have found a settled footing under Allegri after a turbulent first campaign in Italy.