"I think we put in a very good defensive display, especially when Schalke went for it towards the end of the first half," Hazard told the press. "They played some good football, but we held firm and we're very pleased with the result.
"I don't think Schalke are lacking too many qualities. It's the small things that can decide matches and we took our chances. They had more of the ball but we made sure that when we had it, we scored.
"We're delighted to be top of the group, but we still have three games to play and we want to win them all. Of course we're happy to be up there at the moment, though."
Chelsea host Manchester City in the Premier League on Sunday.