Allam has attracted fierce criticism from some supporters after going public with his desire to rebrand the club as Hull Tigers following their promotion to the Premier League in May.
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"[The campaigners] can die as soon as they want, as long as they leave the club for the majority who just want to watch good football," a furious Allam told the Independent on Sunday.
"How can you be supporting a club when you distract attention during a game?
"How can they call themselves fans, these hooligans, this militant minority, when they disturb and distract the players while taking away the rights of others to watch the football and of companies who have paid good money for advertising?
"I'm a simple man. Do they want me to stay? If it's: 'No, thank you', fine, in 24 hours the club is for sale ... I do not put in one more pound."