While 57-year-old Arnold admitted he might've if he had "their permission" even a call from Hillary Clinton herself wasn't enough to make him release it.
"She called me two days before the election and said 'please release that.'
"The weight of the free world is on your shoulders," Arnold alleges she added.
Arnold told the Democrat nominee, "I'd love to be a hero, but I can't hurt these families."
The show reportedly has a US$5 million confidentiality agreement.
"Well now these people - two editors and an associate producer - are scared to death. They're scared of his people, they're scared they'll never work again," he told Dori Monson's US radio show.
The American actor, who rose to fame in 1994 with his role in True Lies alongside Arnold Schwarzenegger, also admitted he didn't think releasing the video "would work".
"I don't think people would care," he said.
The infamous "Grab her by the pussy" video caused global outrage but Trump still won the election.
Arnold, who has known President for more than 30 years, has always been vocal in his opposition to Trump's presidency.
Last week on an episode of I'm A Celebrity, the actor slammed President Trump.
"He is sexist, he's racist but I consider him a kind of joke," Arnold said.
"I have friends that are real billionaires, that are real and I always considered him a phoney about that."
The newest episode of I'm A Celebrity, Get Me Out Of Here airs tonight in Australia at 7pm on Network Ten.