Retired Adm. William McRaven, who oversaw the U.S. operation that killed Osama bin Laden, doubled down on Sunday on his criticism of President TrumpDonald John TrumpCNN's Camerota clashes with Trump's immigration head over president's tweet LA Times editorial board labels Trump 'Bigot-in-Chief' Trump complains of 'fake polls' after surveys show him trailing multiple Democratic candidates MORE's treatment of the press after the president went after McRaven in an interview with "Fox News Sunday."

Trump dismissed McRaven as a "Hillary ClintonHillary Diane Rodham ClintonTrump complains of 'fake polls' after surveys show him trailing multiple Democratic candidates Hillary Clinton responds to Trump tweets telling Dem lawmakers to 'go back' to their countries The Young Turks' Cenk Uygur: Here's how to choose a president MORE fan" and an "Obama-backer," and suggested the U.S. took too long to hunt down bin Laden after anchor Chris Wallace noted that the retired admiral has called the president's rhetoric toward the media "the greatest threat to democracy in my lifetime."

McRaven told CNN in a statement that he stands by his comments.

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"I stand by my comment that the President's attack on the media is the greatest threat to our democracy in my lifetime," he said. "When you undermine the people's right to a free press and freedom of speech and expression, then you threaten the Constitution and all for which it stands."

McRaven, 63, noted that he did not back former Democratic presidential nominee Hillary Clinton or any other candidate in the 2016 election, and that he worked under both former President Obama and former President George W. Bush.

The president routinely derides negative press coverage as "fake news" and has referred to members of the media as the "enemy of the people."

The retired admiral previously criticized the Trump administration over its decision to rescind former CIA Director John BrennanJohn Owen BrennanA brief timeline of Trump's clashes with intelligence director Dan Coats Trump critic Brennan praises his Iran decision: I 'applaud' him Schumer: Trump must get congressional approval before any military action against Iran MORE's security clearance. McRaven praised Brennan's integrity and professionalism, and said it would be "an honor" for the Trump White House to revoke his security clearance as well.

"If you think for a moment that your McCarthy-era tactics will suppress the voices of criticism, you are sadly mistaken," McRaven wrote in August. "The criticism will continue until you become the leader we prayed you would be."