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The ex-Liverpool defender suggested the Reds could dive into the competition with Arsenal and Chelsea for the forward who could command a price tag of £150 million ($190M).
Speaking to Metro, Riise said: "I've seen the rumors saying that he would love a move to Liverpool as well.
Every striker would love to go to Liverpool at the moment when how they play, but I think it would be a great addition to the team.
"He plays football with a smile on his face, he likes to be creative, he's quick, he's very good in front of goal so I think that would be a great signing.
If there's one place I think Liverpool should strengthen or do something in the summer it's the striker position for sure.
"Sometimes you have players in the team that you love watching and you love having a team and Nunez is one of them
And so, no matter how much I love his personality and how he plays, Liverpool are a top, top club that need a striker who scores goals on a regular basis.
"We have (Mohamed) Salah but he's not a striker, he's a winger
We need a striker who is more clinical and will take care of his chances when he gets them
You will miss some but Nunez has missed quite a few massive chances that he should have scored.
"So it's a hard one being a Liverpool fan and loving Nunez as a player but if you look at the team and what the team needs to stay up there at the top, I think we need to look at a striker who is more clinical in front of the goal."
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