Where do get the information that he offered himself as the candidate for PSG new coach?
To be honest, I just know it and I didn't follow the news related to Conte. What I know so far, is that Conte has a contract with Tottenham until 2023. And as a professional/reputable coach, he must stay in Tottenham until the contract expires.

It is still from Conte's side, it depends on PSG management. If PSG is interested to hire Conte, we can easily conclude that Conte will be the next PSG coach. But if PSG is still interested to hire Zidane, Conte must wait for the response from Zidane regarding whether he agrees or disagrees with PSG offer. We don't know what Zidane thinks about the offer.