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The Brazilian was on the scoresheet along with Tiemoue Bakayoko and Pedro as Antonio Conte's men cruised to a 3-1 win over Huddersfield last night.
Willian has struggled to hold down a regular place in Chelsea's first-team this term which has led to speculation that he could leave.
However, the talented wide man insists he’s content in west London.
"I'm happy here and the fans can be calm," he said.
"I'm always happy here at Chelsea.
“I really like this club a lot with my heart. Yeah, I'm very happy."
Willian has bagged six goals this season despite his limited game time.
Chelsea player ratings v Huddersfield
Chelsea FC
“Willian scored for Chelsea against Huddersfield last night ”
The 29-year-old admitted he is keen to play every week.
"I think we had a great game, we had possession and tried to play the ball,” he added.
"We created a lot of chances and we have to carry on.
"Always when I play I want to play well and make a difference.
"Of course I want to play every game, but only 11 can start."
Chelsea currently sit third in the Premier League table - 11 point behind pace-setters Manchester City.