The Brazilian playmaker took to Instagram to thank Jurgen Klopp and his former team-mates as well as Reds supporters.
Coutinho was unveiled at the Nou Camp on Monday after the protracted transfer which makes him the second most expensive player in history.
He describes his move to the Catalan club as a dream come true, but states how important Liverpool will always be to him.
“Since the moment I arrived in Liverpool, me and my family have been made to feel so welcome and have made so many friends,” Coutinho wrote on Instagram.
“On the pitch and off the pitch, we have experienced the beauty of this club and its fans.
"In turn, I hope I have delivered memories and moments that have brought happiness to the Liverpool supporters.
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“I leave Liverpool because Barcelona is a dream for me”
Philippe Coutinho
“Moving to Liverpool, I knew the club’s greatness and history but what I did learn during my time was the unique heart and soul of the place.
"It has its own personality and character. I leave Liverpool because Barcelona is a dream for me.
"Liverpool was a dream that I was fortunate enough to realise and I have given five years of my life to it.
“A career on the pitch only lasts for so long and to play for Barcelona as well as Liverpool is something I want to experience and enjoy while I am blessed enough to be able to do so.
“I hope the supporters understand that choosing to experience something new is not about diminishing their importance to me or the club’s importance. Nothing will ever diminish that in my heart.
Barcelona officially unveil Philippe Coutinho

“I wish Jürgen and the team nothing but joy and success for the rest of this season and beyond.
"This is an amazing team and they are getting better and better all the time.”
The 25-year-old will be sidelined for three weeks with a thigh injury.
But he will back in time to help Barcelona take on Chelsea in their Champions League knockout tie in February.