The 20-year-old Brazilian has already impressed on Merseyside since making the move from Inter Milan in January, notching up two goals and two assists from his four starts.
Coutinho is happy with how things are going and the playmaker hopes he can establish himself as an important player for the Reds.
"Things have gone really well for me here so far," Coutinho, who spent time on loan at Espanyol last season, told the Liverpool Echo.
"Maybe because I played in Italy and spent six months in Spain last season that has helped me adapt more quickly to English football.
"Also I must thank my team-mates as they have helped me a lot with my first few games. Everyone has made me feel so welcome.
He added: "The games are quicker and more physical but I like that. I am learning all the time.
"Every player wants to improve and get better and I am the same. I am still young and have so much still to learn.
"I hope to be here for many years and become a big player for Liverpool. I will continue to work hard and do my best to improve my performances and help Liverpool."
Coutinho is enjoying working under manager Brendan Rodgers and wants to repay his faith by helping the club back to success.
"The manager here is still young but he's an excellent person and a very good coach. He speaks openly to everyone and I'm pleased to be working with him," he said.
"The manager has shown a lot of faith in me and hopefully I will repay that. I want to win some titles here to compensate the club for what they've done for me."
The Brazilian does not speak English and has the help of an interpreter but says he is keen to pick up the language.
He added: "Communication between myself and my team-mates is still a bit difficult. The people here speak very fast so it's difficult to pick up the words but I'm trying.
"If the manager wants to get some information across to me in training he speaks Spanish. (Fellow Brazilian) Lucas has also helped me a lot."