The Swede is out of contract this summer - and the Reds could be the perfect destination for him.
"Yes, there is interest from the Premier League, I can confirm that," the striker is quoted as saying by the Independent.
"The Premier League is the league in the world all people and fans speak about. A lot of things have to feel fine when I'm going to take a decision this summer."
Rarely does the opportunity arise to sign a world-class striker for free. Often, when managers are urged to sign a new centre-forward, the likes of Arsene Wenger will shrug, smile and say there aren't any good enough.
But, with Zlatan, one of the best is now available without a fee. Every Premier League club should jump at the chance to sign him.
More specifically, though, the Swede could be the perfect fit for Liverpool. Ibrahimovic has history with Louis van Gaal and Pep Guardiola, while there is uncertainty at Chelsea and a lack of success at Arsenal.
Under Jurgen Klopp, however, Liverpool are moving forward. And Ibrahimovic would be ideal for Anfield.
Daniel Sturridge is world class when fit but the Reds need two world-class forwards. Just look at how good they were with Luis Suarez - although admittedly a different and better player than Ibrahimovic.
Christian Benteke is not good enough, while Danny Ings will take time to recover from injury.
For Zlatan, Liverpool would represent a more ambitious choice than perhaps the likes of West Ham United and Tottenham due to the club's history (and wages paid).
For Klopp and co, meanwhile, there are no real reasons they shouldn't recruit the 34-year-old - one of the world's leading strikers.
"It’s like a marriage. Two parties have to want it, not just one or the other. Each side needs to want it as much as the other," Ibrahimovic added at his press conference.
At Liverpool, that balance could well be struck.