Premier League - Liverpool sign Enrique from Newcastle
The Spanish defender, 25, penned what the club described as a "long-term contract" in a reported £6 million deal after undergoing a medical.
"This is one of the happiest days of my life," he said. "I have come to one of the biggest clubs not just in England, but in the world. I am really, really happy.
"They have won a lot of things including the Champions League. They have amazing players and I hope to win things here.
"Of course I am looking forward to playing in front of the Kop. Everybody speaks about the fans here and they are amazing. I am looking forward to it. I hope it will be this weekend, but if not I can wait."
The deal is another major signing for Reds boss Kenny Dalglish, with England midfielders Stewart Downing and Jordan Henderson, Brazilian goalkeeper Doni and Scotland playmaker Charlie Adam also bought this summer.
Even though Liverpool's opening match of the season - at home to Sunderland - is just over 24 hours away, Enrique feels he is ready to play and ambitiously targeted the league title.
"If the manager needs me, I am ready to play," said Enrique.
"I have already played for Newcastle in pre-season, not every game but two or three games and I am fit and if the manager needs me, I am ready to play.
"My ambition is win everything with Liverpool. This year we won't play in the Champions League, so the most important thing is to try and win the league."
Enrique joined Newcastle from Villarreal in 2007 for around £6.3m but a contract impasse saw the Magpies cash in with just a year left to run on his existing deal.
He is the third big-name player to leave the club following owner Mike Ashley's decision to replace Chris Hughton with his friend Alan Pardew, joining Carroll at Anfield, while former captain Kevin Nolan moved to West Ham.
Midfielder Joey Barton is also expected to leave the club after being handed a free transfer.