Clarkson will still be under contract after Saturday's grand final against Fremantle.
This is the Hawks' third grand final in his nine-year tenure, which includes the 2008 premiership.
A Clarkson move to the Eagles would be the biggest coaching shock since Ross Lyon's stunning switch from St Kilda to Fremantle.
The claim was made on Fox Footy during a Tuesday night program, but Clarkson said it was untrue.
"Those who know me well would understand that my values would never have me walk away from a commitment to our club," Clarkson said.
"My family and I have had a great journey with this club and we are optimistic that the coming years are going to be an exciting time for Hawthorn."
Newbold was similarly insistent at a Wednesday club function that Clarkson was going nowhere.
"He's put out a statement today ... you guys in the media actually need to go and talk to the individuals you're writing the story about," he said.
"If you understand the nature of the bloke, and it's evident in the statement ... that's the end of the matter.
"In terms of my Richter scale, it wasn't even showing up.
"It wasn't an issue for me."
Newbold said talks about a possible contract extension for Clarkson and Lance Franklin's much-discussed future would be addressed after the grand final.