The midfielder was also keen to praise Jurgen Klopp for getting the confidence flowing in the squad again.
The playmaker was the star of the show at Stamford Bridge, as he scored two goals in his side’s eventual 3-1 win.
It was a big performance from the Brazilian, who up until his equaliser before half time had not scored since the opening weekend of the season, with him coming in for criticism following some poor performances.
And he has dedicated his two goals to the club’s fan base who have stuck with him during poor run of form.
“I haven't been playing so well but I knew I just had to keep working and things would change for me. That's what I did,” he told the Liverpool Echo.
“The support we got from the fans throughout the game was amazing. They are always there supporting us and we wanted to give something back. My goals and this win is for them.”
The midfielder was also keen to praise manager Jurgen Klopp for instilling confidence back into the side since taking over.
The win at Stamford Bridge was his first in the league and sure to be a big boost to morale for a side that has struggled and looked lost at times this season.
The German was keen to get the confidence flowing at Anfield again when he took over from Brendan Rodgers, and Coutinho says that is exactly what has happened.
“Everyone in the squad is enjoying the football he asks from us,” he added.
“He's a manager who demands a lot of hard work. That's what we try to do every day. We have to continue this way. He is a manager who gives you confidence. We have had some difficult moments as a team but now we're in a good way.”