Allardyce said he made the decision to leave Bolton Wanderers in 2007 because of the club's lack of ambition and insists his aspirations at Upton Park are not to be underestimated.
"I have more ambition than West Ham ever has," he said, before qualifying: "I have more ambition than them or the same ambition as them.
"I want to get better. I want to get into Europe, I want to get into the new stadium, I want to win a cup.
"I understand money isn't as free-flowing here as it is at other places but it doesn't stop us getting there.
"It's whether anyone is patient enough for us to wait to get there, that's the problem today, there's a lack of patience across the board."
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