The Belgium star has netted 15 Premier League goals this term to dragging Chelsea to the edge of the title.
The 26-year-old playmaker has grown vigorously under the Italian boss after a dismal campaign last term, being labeled by fans as one of the “rats” partly responsible for Jose Mourinho’s sacking.
Hazard’s revival into activity and prominence has the Spanish giants on high alert, but Conte still believes Chelsea do not want to let go and that the Belgian himself is satisfied with life at Stamford Bridge.
When grilled if he could guarantee Hazard's stay at the Chelsea next season, Conte replied: “I think that it’s impossible for me to take this responsibility.
“Not only for Eden, but for every single player.
“In this situation the club has the final decision. I can tell my opinion about this situation, but the club has the final word about this situation. I think this is right
“I don’t think that this idea (to sell Hazard) is in the mind of the club because I think that we have to improve the team; reinforce the team. But you know that in football there is also the will of the player.
“But I think also Eden is very happy to stay in Chelsea. I can tell this but I don’t have a crystal ball for the future. I think anything is possible in football. But not only for Eden but for every single player.
“Everything is possible, because you must understand there are different wills to compare, and to take the decision.”
The Blues can get a final-stamp Champions League qualification by picking up any points at Everton on Sunday, while a win would move Conte’s side ever closer to the league title.
And the former Juventus boss would love to have Eden Hazard in his squad for an all-out assault on Europe’s top club competition next term.
“I think Eden is very happy to stay with us, to work with us,” said Conte. “I think his family is very happy to stay here and to play for this team, for this club.
“The fans love him and I think there are a lot of positive things that bring him to stay here and to try to reach the best with this club.
“Don’t forget that the target of this club is to try to win in every competition that you have to play.
“He’s a great player, he has great talent, but I think this season he has improved a lot, not only on the pitch but also I think that he’s becoming stronger mentally. And I think this level is very important to try to have this next step.
“Because this step brings you to the best players in the world. And I think that Eden is starting to take this step.”