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Coming off the bench late in the game, he scored two goals, turning a looming defeat into a 2-1 victory for the Reds.
Nunez repeated his heroics last month, scoring two goals in injury time to secure a win for Liverpool at Brentford.
These consecutive underperformances led to public criticism from Liverpool boss Arne Slot.
Hopefully he can keep doing this, and whenever the team needs him then he is ready for it if he keeps putting in sessions like he did yesterday."
Reflecting on why he chose to publicly discuss Nunez's performance, Slot explained: "First of all, I helped him by saying you can miss a chance.
Darwin Nunez was left on the bench against Manchester City after being criticized by Arne Slot.
I know him at Villa at home where he made a 100 metre sprint and scored a goal, I know him when he came on against City at home and was pressing really aggressively and wins the ball back and we score.
"But I can't accept if a player doesn't give everything.
Kostas Tsimikas is challenging Andy Robertson for the left-back position, while Conor Bradley, Joe Gomez and Tyler Morton remain sidelined for the time being.
Mohamed Salah, who scored and assisted at City, bringing his total goal involvements to 51 in 38 appearances this season, is a guaranteed starter
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