Dennis is said to have dismayed other members of the Woking based team's senior management this week when the 67-year-old publicly urged Button, who is out of contract at the end of the year, to "try harder".
Clearly, Button also did not appreciate the comments.
"I think Ron is practicing to be a motivational speaker maybe," he told reporters ahead of his home race at Silverstone, where he will wear a pink helmet in tribute to his late father John.
"I don't think we should be pointing a finger at any individual within the team," said Button.
Button, 34, rejected Dennis' claim that he is not pushing to the maximum with the uncompetitive 2014 car.
But he said he is keen to race its 2015 successor, to be powered by a works Honda engine.
"I would like to stay," said Button, who is out of contract at the end of the season.
"This team has a bright future and the partnership with Honda will help the team a lot, having that connection with a manufacturer.
"But it isn't the only team in formula one," the Briton added.
Book discounted tickets and reservate your hotel room in our F1 Tickets Shop.
|Hungary '17||50% Sold Out||Book Now|
|Belgium '17||75% Sold Out||Book Now|
|Italy '17||30% Sold Out||Book Now|
|Singapore '17||Available||Book Now|
|Malaysia '17||Available||Book Now|
|Japan '17||Available||Book Now|
|USA '17||10% Discount||Book Now|
|Mexico '17||Available||Book Now|
|Brazil '17||Available||Book Now|
|Abu Dhabi '17||30% Discount||Book Now|
|Australia '18||Available||Book Now|
|Spain '18||20% Discount||Book Now|
|Monaco '18||Available||Book Now|
The cookie settings on this website are set to "allow cookies" to give you the best browsing experience possible. If you continue to use this website without changing your cookie settings or you click "Accept" below then you are consenting to this.