On Sunday morning, Trump tweeted a video of himself taking down a person with a CNN logo on his face.
Kayleigh McEnany and Sally Kohn got heated during a panel discussion on CNN this afternoon over President Trump's latest anti-CNN tweet.
Mr Trump's unusual tweet comes a day after he said his use of social media "is not Presidential - it's modern day presidential".
The statement also criticises Mr Trump for failing to "prepare for his overseas trip, his first meeting with Vladimir Putin, dealing with North Korea and working on his health care bill". We will keep doing our jobs. Trump said on Twitter.
Scott Detrow, a NPR reporter who covers Congress, tweeted "Maybe Trump has just been binging on GLOW like the rest of us?" referring to a Netflix show about female wrestlers.
The video ends with a logo in the corner that says "FNN: Fraud News Network".
"I think it's unacceptable", said Navarro on ABC's "This Week", where she was a member of a roundtable discussion. "I hope they don't", he said.
"The fake media is trying to silence us, but we will not let them", he said.
Throughout his campaign and into his presidency, Trump has disparaged news outlets, such as The New York Times and CNN.
Trump first sparked outrage from Democrats and Republicans on Thursday when he suggested that presenter Mika Brzezinski had been "bleeding badly from a face-lift" when he saw her six months ago. "And to be honest, I think that's why he was elected". He reiterated his statements early Saturday morning alongside a second post that asserted CNN had "been exposed" for peddling "fake news" and "garbage journalism". A Shakespeare in the Park production of Julius Caesar, with the doomed title character done up like Trump, caused controversy and advertiser pull-outs.
Donald Trump Jr. responded quickly to deflect the point.