"None of the dossier, to Fox News's knowledge, has been disproven," Shep Smith said.
Donald Trump's dismal popularity ratings in Europe prompted Steve Bannon and Sean Hannity to work together to help boost the president's image among populist circles.
Trump told Fox & Friends that Cohen did only "a tiny, tiny little fraction" of his legal work.
"This has been a very weird day in the news."
Michael Cohen's counsel "was clearly more concerned about protecting the president than protecting Sean Hannity," Stormy Daniels's attorney said.
"It's beneath contempt," Joe Scarborough said. "Sean Hannity is a desperate, desperate man. Desperately defending a desperate, desperate president."
Sean Hannity has floated his latest conspiracy theory about the former president.
President Trump reportedly speaks regularly with Hannity, who has been making inflammatory comments about the memo all week.
The Fox News host previously suggested a memo that reportedly details abuse of government authority under the Foreign Intelligence Service Act (FISA) is bigger than Watergate.
Social media accounts are amplifying a far-right movement to boycott the firm after it pulled ads from Hannity's show.
Instead, he ran President Donald Trump's South Korea speech in full.
The rules were broken during discussions of Trump's travel ban and the Manchester bombing.
Clinton "[gave away] nuclear capabilities to our enemies," the ex-White House adviser said.
The president went after his attorney general on Twitter and ended up taking a swipe at Ukraine and election opponent Hillary Clinton.