He said Kennett, who has expressed interest in becoming Melbourne president, should have "a good hard look in the mirror".
"My preference would be to give no more oxygen to Jeff's comments, but I want to make it very clear to everyone that the Melbourne Football Club has no interest in a man who once said 'my heart bleeds gold and brown',” McLardy said in a pre-game address before Melbourne's Queen's Birthday clash with Collingwood.
"Nor are we interested in someone who has suggested the Melbourne Football Club should merge with another club or move to the Gold Coast.
"Nor are we interested in someone whose judgement saw them call for premiership coach Alastair Clarkson's sacking after round one this year after the Geelong loss. Needless to say Hawthorn haven't lost a game since.
"Jeff, there was a very good reason the Victorian people threw you out of office despite your record, and from your performance last week, it would seem you are the only one who still doesn't know what that reason was.”?
McLardy also said it was "incredible" that club great David Schwarz would state publicly his wish for the Demons to be thrashed by Collingwood, in order to force a decision on the coaching position of the besieged Mark Neeld.
"'Schwarta', you are a Demon great, but I have to question the sense of some of your comments last week, albeit coming from the heart," he said.
McLardy did not speak directly about the future of senior coach Mark Neeld in his address.
Meanwhile, Melbourne board member John Trotter will lead an internal review into the board's performance that will be completed within weeks.
Trotter, a former managing partner of Deloitte in Victoria, will be assisted in the review by fellow board member Geoff Freeman and chief executive officer Peter Jackson.
The findings of the review, which will focus on the operations and structure of the board, will be presented at a scheduled board meeting in late June.
McLardy revealed the club would meet with the AFL soon to outline its plans.
He said the club's football department would continue to be the Demons' first priority.
McLardy said the board took "full responsibility for where we are” and acknowledged the need to be "analysed and questioned on their success or failure”.
However, he threw his support behind the club's current directors.
"In my view, my fellow directors cannot be questioned on their personal and financial commitment to our club ... [they] all are highly talented Demon fanatics.
"It would be a mistake for our club to not recognise that these directors can and will make a positive impact on the future of the club, whether on the board or not."
