A number of fans are against Allam's proposal to rebrand the club, with supporters' organisation City Till We Die holding meetings with the chairman to express their stance.
Despite not receiving the support from a number of fans, Allam has insisted that he will make the final decision.
"I honestly don't know why the fuss, why a small group are making all this fuss," Allam told BBC Radio 5 live. "Nobody in the world will decide for me how I run my companies, certainly not a few hundred people."
Allam first invested in Hull back in October 2010.