Enrique swapped Tyneside for Merseyside during the summer of 2011 following four years with Newcastle - a switch influenced by the desire to emulate modern greats at Anfield.
"One of the reasons I came here was Jamie Carragher, Steven Gerrard and now Luis Suarez," the 27-year-old told LFC TV in the latest edition of 'Life Through a Lens'.
"These are players that have amazing history at the club and I want to try to be like them in the future here."
Having worked particularly closely with Carragher as two parts of the Liverpool back four, Enrique considers the vice-captain to be the perfect example for any player.
The left-back continued: "You have to respect the past he has here - he's a player that has played 700 games.
"It's not lucky, he deserves it. He has been an amazing player for Liverpool for many years and he's an example for any player here."
Reflecting further on his transfer to Anfield, Enrique - who has clocked up 75 appearances in a Liverpool jersey - insisted there was never any doubt that he wanted to become a Red.
"It was one of the best decisions in my life, in terms of football," he added.
"Of course, I already played for a good club at Newcastle, but you can't compare one club with the other in terms of history.
"It was really quick; I knew there was interest from before the summer. When they started talking to Newcastle about how much I was going to go for, it was one or two days to sort it out. I told them I wanted to come here.
"I'm really happy with my decision to be here; it's my second season and I'm playing a lot, like last year. I'm improving a lot as a player and a person as well."