Potter was axed and replaced by Nuno Espirito Santo with West Ham sitting inside the Premier League's bottom three.
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But Cottee posted to X: "As usual, the fiasco at West Ham is handled with a total lack of class.
"What a shambles.
"The players will be delighted to have their fourth manager in 16 months!
"As I've said before, nothing will ever change until this dreadful ownership has left the club!"
