In the interview Trump did with NBC's Lester Holt shortly after firing FBI Director James Comey, Trump described Rosenstein's involvement in the firing.
U.S. President Donald Trump announced Friday he is under investigation in connection with a probe into alleged Russian election meddling that is gnawing away at his administration - and gathering pace.
Meanwhile, special counsel Robert Mueller - a respected former Federal Bureau of Investigation director - has sought to beef up his investigatory firepower. Mueller was appointed by Deputy Attorney General Rod Rosenstein and has expansive powers to probe any matters that develop from his initial investigation. "Even his staunchest supporters will balk at such a blatant effort to subvert the law", she said in a strongly worded statement.
Mueller, meanwhile, has sought to beef up his investigatory firepower.
Peter Carr, a spokesman for Mueller told AFP he now has "13 attorneys on board, with several more in the pipeline".
US intelligence agencies concluded in January that Russian Federation interfered in the presidential race to try to help Trump win, in part by hacking and releasing emails damaging to his Democratic opponent, Hillary Clinton.
Rosenstein Says He Won't Fire Special Counsel Unless There's Good Cause
Gingrich and Ruddy said it would be a "mistake" for Trump to remove Mueller, although both said they see the probe as unnecessary. Doubt, however, has been cast on that explanation because of cryptic testimony from former FBI Director James Comey last week.
"Americans should be sceptical about anonymous allegations". Senator John Cornyn of Texas, the No. 2 Senate Republican, told reporters Thursday that Rosenstein shouldn't recuse himself. He lashed out at a top Justice Department official overseeing the inquiry, reflecting his mounting frustration with the unrelenting controversy that has consumed his early presidency. "However nothing has changed".
Trump has said he is "100 per cent" willing to testify under oath on Comey meetings and tell the FBI Special Consul Robert Muller that he never asked FBI to stop investigating.
"Creating written records immediately after one-on-one conversations with Mr. Trump was my practice from that point forward", Comey said in a written statement, which was released ahead of his open testimony before the committee. "He is a good guy". Only 26 percent said they were extremely confident in Mueller's ability, while 36 percent each said they were moderately confident or not confident at all.
He has also started to direct some of his anger at Deputy Attorney General Rod Rosenstein, who oversees special counsel Robert Mueller's Russian Federation probe, according to the AP and the New York Times.
At a ceremony last month to welcome Associate Attorney General Rachel Brand, the Justice Department's third-ranking official, Rosenstein joked awkwardly about being at the center of criticism since taking office, according to people who were in the room.
In another indication of the seriousness of the probe, Michael Cohen, a personal attorney to Trump, said he has retained attorney Stephen Ryan, a former assistant US attorney, to represent him in the ongoing probes.
Trump might view Boente as an ally and the most likely person to do his bidding. Trump refused to accept his resignation. Boente carried out the defence. "The best thing that could happen for the president, and the country, is a full and credible investigation". Alternatively, Trump could name a new acting deputy attorney general.
On Friday, former House Speaker Newt Gingrich said that Trump technically "cannot obstruct justice" because he is the president.