Rosenstein said he is the individual who now has the authority to hire or fire Mueller after Attorney General Jeff Sessions recused himself from any investigation into Russia amid questions about his contacts with Russian officials during the President Donald Trump's campaign.
Chris Ruddy, a Trump friend and the CEO of the conservative website Newsmax, raised the possibility of the president considering terminating Mueller, a potentially explosive option. "I think it's pretty clear by what one of his lawyers said on television recently", he told host Judy Woodruff.
The responsibility for appointing (or theoretically firing) Mueller lies with Rosenstein because his boss, Attorney General Jeff Sessions, recused himself in March from all investigations involving Russian Federation and the 2016 elections.
Ruddy's speculation that Trump might fire Mueller was probably derived from Jay Sekulow's ABC interview Sunday where he said that he was "not going to speculate" on whetherTrump might order Rod Rosenstein, to fire Mueller.
Christopher Ruddy, chief executive of conservative group Newsmax Media, Mr Ruddy was at the White House on Monday, but USA media reported that he did not meet Mr Trump while there. Ruddy, however, did not meet with the president that evening as their meeting was postponed, NBC News reported.
As Jeff Sessions is set to testify in the ongoing Russian Federation investigation Tuesday, this much is clear: while Mueller and his team expand their probe and edge, ever-closer, to Trump, they will continue to field an onslaught not just from the president, but from his band of supporters.
"Can you think of one thing that Trump could do worse than fire Bob Mueller?".
The Code of Federal Regulations stipulates that the attorney general alone has the authority to appoint or to remove a special counsel.
Hours after the interview, White House press secretary Sean Spicer released a statement that did not deny the claim, but said, firmly yet evasively, "Mr Ruddy never spoke to the president regarding this issue".More news: Federer ready for competitive return
Ruddy - who is a close confidante of the president - said it's evident termination is on the table due to recent comments Trump's attorney made.
"I think that he should be more cognizant of making sure that the people who come to work with him are non-partisan, for his own credibility", Bennett said of Mueller.
"I know Bob Mueller and I have confidence in Bob Mueller", House Speaker Paul Ryan said.
At a morning press conference, Ryan and House Majority Leader Kevin McCarthy grew frustrated at reporters asking about Mueller, insisting there was no story.
Comey said that by leaking the memo, he had hoped to prompt the Justice Department to appoint a special counsel to lead the Russian Federation probe.
The president is reportedly angry about stories about close ties between Mueller and former Federal Bureau of Investigation director James Comey.
Collins' question wasn't the only time the Mueller investigation came up during Rosenstein's hearing on Capitol Hill. He said he would agree to dismiss Mueller only if there were a legitimate basis to do so.
"I do not", Sessions said when asked whether he knows whether the president records his conversations.
Even so, Mr Gingrich said, Mr Trump will not seek to dismiss Mr Mueller because he is confident the probe will conclude he has done nothing wrong.