Hazard played no part in the only goal of the game, scored by Olivier Giroud, but his stats from the game make for impressive reading.
The 27-year-old was getting a haircut while live streaming on Instagram, when a hopeful punter commented "Come to Utd".
The Belgium global was showing off his new hair cut on a live stream on social media and noted a comment urging him to "come to United", but he immediately waved it away, saying "no chance" before bursting out laughing.
Hazard then chuckled with his barber before joining in with a quick rendition of Chelsea anthem Blue Is the Colour.
His answer went down very well with Chelsea fans on Twitter.
That result helped them keep the pressure up on the Reds and Tottenham in the race for the top four. "Of course I want to play in the Champions League, but it isn't a priority".
Asked about their victory over Liverpool, he said "Beating Liverpool was a massive result". Now the target is just to win and be in the top four at the end of the season, and if we play like this the last three games, we can have something special at the end of the season.
Hazard added, "Let's hope for something big".