The Italian manager is set to take charge at Stamford Bridge in the summer after the conclusion of Euro 2016.
Hazard’s future has been a source of speculation in recent months after a poor season for the Belgium international in which he has struggled for form and fitness.
The 25-year-old has been linked with a transfer away from Stamford Bridge, with Real Madrid touted as a possible destination.
However, the playmaker appears to have indicated his desire to stay on at Chelsea beyond the summer as he confirmed that he has already spoken with the west London club’s new manager.
Speaking at a news conference on Friday, Hazard said: “Yes, I spoke (with Conte) before.
“He said ‘Good luck in the Euros and we will see after the Euros’.
“We have pre-season and he just said good luck for the Euro.”
Chelsea will have to make do without European football next season after their disastrous campaign in the Premier League led to Jose Mourinho’s sacking back in December.
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