"You can try and win the Ballon d'Or, but my first thought when I read that was you're not winning the Ballon d'Or as a right-back for Liverpool. Ballon d'Or winners normally play for Real Madrid or Barcelona, that's where the best players in the world go," Carragher told Sky Sports.
"If that's his ultimate ambition – I think he was asked about winning the Champions League, World Cup, or Ballon d'Or, and he chose the Ballon d'Or, which I think is a bit strange or bizarre, it's a team game. But he's got massive ambition and why not, you only get one career. He is a unique full-back and is absolutely amazing. But when I read that interview, that makes me think he's going to Real Madrid. I actually think Mo Salah and Virgil van Dijk will stay, I do believe that, [but] the longer it goes on with Trent, the more I feel he's going to go.
"There's something about Real Madrid. It is the biggest club in the world, you'd think that. But you go back to being a local lad and there will be a frustration for Liverpool supporters the longer this goes on and he doesn't sign a contract. In the past, you've had two players: one was Steve McManaman who went to Real Madrid and won two European Cups, but that wasn't [leaving] a successful Liverpool team. [And] you had Steven Gerrard [who famously didn't leave]. With those two players, Liverpool weren't the best. When Trent has been a Liverpool player, Liverpool have been the best. [Fans'] reaction would be, well if you're a local player and Liverpool are competing for the Premier League and Champions League every season, what more do you want? So there will be a frustration from Liverpool supporters if Trent does move."