Hazard was this week linked with a £100million move to Real, whose head coach Zinedine Zidane is the Belgium playmaker's idol.
Conte says it is flattering for his Chelsea players to have admirers, but insists Hazard is happy at Stamford Bridge.
"The only thing I can say is Eden is a Chelsea player, our player," the Italian said.
"We are happy with him
He is happy with us
I don't see a problem.
"It's normal, it's logical in this part of the season, to start rumours about our player..
to try to create difficulty in the mind of the players.
"We have great experience to face this situation
Also my players have this experience.
"If Chelsea players are requested by the other teams, it means they're doing very well.
"I'm very happy
It means I'm doing a great job."
Hazard is under contract until June 2020.
Chelsea captain John Terry, who has not made a Premier League start since September, is out of contract this summer.
Rumours have begun of defender Terry being offered another one-year contract extension.
Conte, who again repeated that contracts and transfers would be addressed at the end of the season and his players should focus on the present, said: "For every situation, there will be the right moment to face
The club is working very well to solve many situations.
"I like to talk about John for this season
He's helping a lot
I repeat: he's doing a great job.
"John knows my thoughts about him and I think the most important thing is this."
Chelsea are 10 points clear entering this weekend's fixtures and with 10 games remaining.
The Blues play Sam Allardyce's Crystal Palace at Stamford Bridge on Saturday and need 21 more points to seal the title.
Conte added: "I think we deserve to win, but there are 10 games to go
For sure our opponents don't want to accept that Chelsea is champions.
"Football is full of surprises
In my experience as a footballer, I won a lot, but I think I lost more.
"For this reason, I want to keep our feet on the ground
It's very important, this."
Source : PA
Source: PA