The US administration revoked Mr Acosta's access last week following President Donald Trump's controversial post-election news conference, where Mr Acosta refused to give up a microphone when the president said he did not want to hear anything more from him.
"CNN, who has almost 50 additional hard pass holders, and Mr. Acosta is no more or less special than any other media outlet or reporter with respect to the First Amendment". When the exchange became tense, Trump said, "That's enough", and the CNN journalist struggled with a White House intern for the microphone.
As Jost begins to report on the White House suspending Acosta's press credentials, the aide, played by Cecily Strong, walks on set and begins nervously shuffling back and forth and pointing to Jost while looking at someone off camera.
That is one of the reasons why First Amendment attorneys say CNN and Acosta have a strong case.
Trump also berated another CNN reporter, Abby Phillip, for asking what he called a "stupid question". Stephenson said. "You didn't like the line of questioning?"
When Acosta challenged the president on his use of the word "invasion" to describe a caravan of mainly Honduran migrants and asylum seekers heading to the U.S. border, Trump launched an attack on the CNN journalist, as an aide tried to physically remove the microphone from Acosta's hands.
CNN asked for an injunction to immediately reinstate Acosta, as well as a hearing on the larger issue of barring a reporter. Her statements came about a half hour after Diamond and Silk, two YouTube-based Trump supporters, advocated that Acosta's badge be pulled during an appearance on the Fox Business channel.
CNN also asserted that other news organizations could have been targeted by the Trump administration this way, and could be in the future. "If left unchallenged, the actions of the White House would create a risky chilling effect for any journalist who covers our elected officials", CNN said in a statement. Trump added, "The way you treat Sarah Huckabee is terrible". The beginning of the clip has extra frames that would be indicative of an adjustment to slow the clip down, and then the actual moment of the incident is sped up to make Acosta's actions look more aggressive than they actually were.
The White House can not run an orderly and fair press conference when a reporter acts this way, which is neither appropriate nor professional.
Another added: "This is a new low even for you".
Trump has frequently attacked the media, including during his presidential campaign.