Conte says it is flattering for his Chelsea players to have admirers, but insists Hazard is happy at Stamford Bridge.
Earlier this week Marca reported that at the time Chelsea convinced the 26-year-old to stay one further season by promising him that they wouldn't reject any approach from Real Madrid in the following summer's transfer window if the Spaniards came knocking.
Chelsea will look to pick up their Premier League title charge upon the resumption of domestic matters this weekend when they host Crystal Palace at Stamford Bridge. It means we are doing a great job, so I'm happy.
It is to try to create a bit of difficulty in the mind of the players.
"I think we are all a little surprised by how they have managed to extend the run they have been on for the length that they have - particularly with the start they had", he said.
Responding to those comments, Conte sounded nonplussed and took the logical approach when explaining Saturday's collision with Palace would prove otherwise: "I didn't know this, but in London there are many teams". Don't look too far forward, it's very unsafe.
Chelsea playmaker Eden Hazard and goalkeeper Thibaut Courtois returned to training following injury on Thursday, while coach Antonio Conte got stuck into the action.
"If the player is happy and the player knows he will stay in a great team with great ambition, I don't see any problem", he told reporters.
Conte refused to discuss reported interest in Arsenal's Alexis Sanchez - "He's a top player". "Tomorrow will be a very hard game for us for many reasons." .
A few weeks ago, the visit of Palace would have been viewed as a routine three points for the Blues.