Trump added, "But I mean, I'm OK with it". "And that's what we want for the FBI", Trump said. Trump wrote on Twitter Friday morning.
Comey instead told the Republican president he could count on his honesty, the Times said.
"Let's say I did it on January 20, the opening, right, and that would have been the big story as opposed to the inauguration", Trump said. "And I hope he will be", Trump said.
"If they exist, Congress needs to get them", Schiff said on Sunday.
He made the comments during a flight to Lynchburg, Virginia, where he delivered his first commencement address as president to graduates of Liberty University.
But Rosenstein does not see the need at this time for a special prosecutor, CNN reported.
The theme of the monologue was "TRUMP STRIKES BACK", and he showed clips from the president's interview with Fox's Jeanine Pirro, including the part where he talked about potentially ending briefings.
That led Trump to tweet Friday morning, "As a very active President with lots of things happening, it is not possible for my surrogates to stand at podium with ideal accuracy".
Asked if the decision or an announcement could take place before he leaves for Saudi Arabia on Friday, he said: "Even that is possible".
He also cast doubt on White House claims that Mr Comey had lost the confidence of his staff. The president, a devoted viewer of coverage about himself, has given several interviews, most recently to NBC News' Lester Holt on Thursday, although he has favored Fox News' friendlier venue. Trump would not directly answer questions about whether Spicer, who was out two days because of Naval Reserve duty, would remain in his job. Comey has not publicly discussed any conversations he has had with Trump.
Reporters asked White House Press Secretary Sean Spicer if the Oval Office or presidential residence has recording devices.
"As a very active President with lots of things happening, it is not possible for my surrogates to stand at podium with ideal accuracy!", the president tweeted.
In the interview on Fox News, Ms. Pirro asked the president, "Are you moving so quickly that your communications department can not keep up with you?"
Trump's administration is scheduled to interview the first four candidates, among a dozen candidates being considered for the post, on Saturday.
And citing a source "close to Comey", CNN anchor Jake Tapper reported the Federal Bureau of Investigation director was dismissed because he lacked personal loyalty to Trump and because the Russian Federation probe was "accelerating".
But the blowback from Comey's firing left the White House reeling once again. On Thursday, Trump told NBC he knew he ran the risk that by firing Comey he would "confuse people" and "lengthen out the investigation" into ties to Russian Federation.
"The president has nothing further to add on that", Spicer said at a press briefing. Gen. Rod Rosenstein, which faulted Comey for the way he handled the investigation of Hillary Clinton's use of a private email server for official business when she was secretary of State.
A White House official has said Trump is considering 11 people to replace Comey. Moscow has denied any such meddling.
Ms Fisher was an assistant attorney general for the justice department's criminal division.