But Pedro’s double and Hazard’s 50th League goal helped to a club-record 12th successive top-flight victory and maintain their seven-point lead at the top of the Premier League.
Still, Antono insists his men cannot be content with their achievements, urging them to continue reaching for the maximum.
“We played a good game, we could have scored more goals, but I am happy with the attitude of the players,” he said.
“We played without our two most important players but I think we played very well.
“To win Twelve (12) games in a row is not easy. It is a fantastic run but it is important to continue that now.
“In four days we have another tough game and we have to prepare ourselves very well. Because now, every team wants to beat you.”
Bournemouth boss Eddie Howe, meanwhile, felt his side were unlucky to be beaten three goals down.
“Chelsea are an outstanding team but that being said, we did well in the game,” he stated.
“It is frustrating for us. You cannot be too upbeat about loosing 3-0 but there were fine margins and many elements of our game plan worked.
“They scored their first goal , without any real sustained period of pressure, and the second goal just after half-time was the decisive moment.
“The players adhered to what we asked them to do really well. We showed our quality and our moments were there but unfortunately Thibaut Courtois did well when called upon.