The 26-year-old had never won a major trophy before beating Cardiff at Wembley and he admitted he thought the Reds chance to win the game had gone when Ben Turner equalised with three minutes to go in extra time.
However, Kenny Dalglish’s side emerged victorious on penalties with Steven Gerrard’s cousin, Anthony, missing the crucial spot-kick to give the Reds a 3-2 win.
Enrique told the club’s official website: "I didn't know this feeling before. It's amazing to win something like this.
"When Cardiff scored the second, if I'm honest I thought we might lose the game, so it's an amazing feeling - I can't explain it.
"It's the best feeling I ever had in football, for sure."
The former Newcastle man also admitted his relief at not having to take a spot-kick, revealing his belief that he is not a good penalty taker.
"If I had to take one, I would take one - but if I'm honest I didn't want to because I'm no good at taking penalties!" he said.
Enrique went on to praise Liverpool's fans and dedicated the victory to them before targeting more success in the FA Cup.
"Like always they were amazing - that's no surprise," he said.
"This is for them as well. They enjoy it like we do - maybe even more. It's amazing but now we have the league games and the FA Cup.
"I'll celebrate with my family and friends and I am really, really, really happy."
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