Talks over a new contract stalled, with the Spaniard revealing he is not prepared to commit to Newcastle until the club's Premier League future is secure.
Enrique (talking to the Sun) - "It is flattering that Liverpool are interested.
"I've also heard that Manchester United and Aston Villa have asked about me. They are big teams and I'm not closing the door on anyone. I'm ambitious and want to play in the Champions League. I want to win things. I'm OK at Newcastle but I aspire to more.
"I love the fans here and suffered with them when we were relegated. But we have to be realistic. Newcastle aren't performing well.
"The club has promised that all the [Andy] Carroll money will go towards new players. I hope that is so. But I have been promised things before that have not materialised.
"Andy Carroll was a great striker for Newcastle. He was a key player. But he is not the only player who has left and now we are short-staffed. There are a lot of colleagues who only made their Premier League debuts this year and we have no replacement players for some positions. If we suffer injuries to major players we'll have problems."