A story in Wednesday's Herald Sun claimed Kennett proposed the action to club powerbrokers as a shock mechanism after the Hawks suffered their fifth straight defeat.
However, Kennett says the claims are "unfounded" and he doesn't remember making such a suggestion.
"I've checked with my CEO, with whom I have a close working relationship, the head of my football department, with whom I have a close working relationship," he told SEN on Wednesday morning.
"I've talked to a board member with whom I have a close working relationship, and none of them can ever recall me making that suggestion.
"I myself cannot recall making that suggestion and I am somewhat shocked that firstly I don't remember making it, that [Herald Sun journalist] Jon Ralph didn't ring me up to ask me - and he didn't - but also that I'm not totally stupid, I don't think.
"I as an individual don't have that authority at my club. At my club, we work as a board, we take things to the board, things are decided by the board and anything to do with our CEO or our coaches is a matter for the board."
Ralph followed Kennett on SEN and stood by his story, but conceded he should have contacted the club president directly before running it.
"I could not be more adamant that this story is true," he said.
"I'm not sure if Jeff doesn't recall it or if the people he spoke to don't necessarily want to remind him of that idea but the people I spoke to - multiple sources and more of the higher-placed sources - said it never got to the stage where 'Clarko' was specifically told by the president that he wanted him to stand down.
"But I can only back my record and the impeccable sources I've gone to."
Ralph said he spoke to a "myriad of people" across Hawthorn - including board members and players - who confirmed the story.
