Boyle's Tramadol Nights series was heavily criticised last year after it included a joke at the expense of Katie Price's disabled son Harvey.
The comic refused to apologise for the remarks and Channel 4 chief executive David Abraham and chairman Lord Burns were questioned on the matter by MPs on the Commons Culture, Media and Sport Select Committee.
However, Hunt claimed that the saga hadn't put her off working with Boyle, who she described as a "talented comedian".
"[Tramadol Nights] hasn't been recommissioned, no, but he's a talented comedian," she told The Guardian.
"If we were to find the right kind of show for him then we would have him back."
Hunt also revealed that she was working with Gordon Ramsay on a prisons project and that Jimmy Doherty, Jamie Oliver and Mary Portas were all key to the broadcaster's plans moving forward.
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