Liverpool ended a run of four consecutive Premier League defeats with victory over Aston Villa on Saturday night.
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Going into the Villa game, there had been claims Slot's position was being questioned inside the Liverpool board room, a claim rubbished by Gerrard.
He said, "Look, the job he did taking over from Jurgen Klopp was impeccable and deserves a lot of praise for it.
"That's why it's been so frustrating these last few weeks, with people calling for his dismissal and changes; that's absolute nonsense."