The Belgium worldwide has been in scintillating form for the Premier League leaders this season, and was the victim of numerous fouls during the opening exchanges of Monday's FA Cup quarter-final victory over Manchester United.
United midfielder Ander Herrera was sent off for two fouls on Hazard, while Marcos Rojo appeared to stamp on the Chelsea midfielder's chest in the closing stages at Stamford Bridge.
Conte was talking ahead of Saturday's Premier League trip to Stoke, where Chelsea failed to win twice last season.
Hazard's consistent performances have made him one of the players of the 2016/17 Premier League season, in which Conte's team is expected to win the title. I hope that, at the end of the season, one of my players could be.
Jose Mourinho was said to be annoyed with Chelsea's system of signing players during his last stint at the club and there are suggestions that Conte has been demanding more freedom in the market before signing a new contract with the Blues.
'Eden is showing great football but also great character and great personality in every game.
'It means that we won the league, for me it will be satisfying to have a player win this award, but until then we must concentrate on the league and try to play game-by-game. He's not tall, but he's strong.
"It's very hard to take always the best decision and sometimes you think one thing and in the future it happens differently".
"We always take the decision together".