Rosenstein last month appointed a special counsel to oversee the Russian Federation investigation.
High-profile supporters of Donald Trump have begun attacking the independent investigator looking into the Russian Federation affair, raising the question of whether the president could indeed attempt to fire him.
Ruddy told PBS he thinks firing Mueller "would be a very significant mistake, even though I don't think there's a justification. for a special counsel".
It's entirely possible, then, that Trump could order Rosenstein to cut Mueller, or that Rosenstein could find reason on his own to do so.More news: Dozens killed, wounded in attack on Afghanistan police headquarters
The decision to fire the special counsel would rest with him alone, he said, despite conjecture that Trump could fire him if he did not acquiesce to orders, or repeal the regulations that govern the appointment and fire Mueller himself.
"It wouldn't matter to me what anybody said".
Created almost 20 years ago by Clinton Attorney General Janet Reno, the special counsel was "the right answer", Starr said, because it while is within the executive branch of government, the role is "assured of practical independence through binding regulations".
"Mueller should not have taken the position, if he was under consideration and had a private meeting with the President, and was privy maybe to some of [Trump's] thoughts about the investigation or other matters before the bureau".More news: Apple is going to stop app developers from harassing you
"Director Mueller is going to have the full degree of independence that he needs to conduct that investigation appropriately", Rosenstein said.
Ruddy lashed out at Spicer and the White House communications team in a Tuesday interview on MSNBC, calling their behavior "amateur hour" and accusing them of failing the president. But how prudent is it for Trump to allow the fate of his presidency to rest in the hands of a friend and former comrade of Jim Comey? Online news mogul Chris Ruddy said: "I think he's weighing that option".
Firing Mueller might tilt the race for control of the House to the Democrats. He testified that he is the only one who has the authority to fire Mr. Mueller, who was appointed following the May 9 ousting of James Comey as FBI Director, and that he had seen no good cause to do so.
The talk about dismissing Mr Mueller appeared to be coming from Trump allies, including some close to White House strategist Steve Bannon, who are increasingly frustrated with the prospect of a long and winding probe. He said Trump had called him Monday night and the two discussed Gingrich's concerns about the probe. If Rosenstein refused, Trump could fire him, and order the solicitor general, who would be next in line in the order of succession, to give Mueller the boot. He added that he "can't imagine" it would happen, however. Trump, who isn't typically shy about leveling criticism, especially on Twitter, hasn't commented on the longtime former Federal Bureau of Investigation director. Ruddy did not immediately respond to questions seeking clarification.More news: Scalise upgraded from 'critical' to 'serious' condition
House Speaker Paul Ryan says the White House and President Donald Trump should let the special counsel's investigation continue, and await vindication. Later in the day, however, Ruddy tweeted that he had been assured by presidential adviser and son-in-law Jared Kushner that Priebus was doing an "amazing job".