Trump made the pardon assertion in a series of Twitter posts on Monday in which he criticised federal Special Counsel Robert Mueller's criminal probe of whether his 2016 presidential campaign colluded with Russian Federation to sway the election.
While arguing that the president has the theoretical ability to pardon himself, Giuliani and other Trump allies on Sunday nonetheless rejected the reality of such a brash move - in part because of the political backlash they said could lead to Trump's impeachment.
And on "Jimmy Kimmel Live!" on Monday night, the ABC host asked his viewers to "imagine how Donald Trump would have reacted if Obama said he had the right to pardon himself".
Trump's comments on Twitter came a day after attorney Rudy Giuliani played down the possibility that the president could pardon himself, suggesting he might have that authority but would be unwise to use it.
Democratic congressional leaders are asking the Justice Department and FBI for assurances that they won't brief President Donald Trump on classified information related to the origins of the FBI investigation into Russia's election meddling. "It certainly would not get laughed out of court the way some people seem to think", he said.
"I am even more convinced that the Federal Bureau of Investigation did exactly what my fellow citizens would want them to do when they got the information they got, and that it has nothing to do with Donald Trump", Gowdy said after the briefing last month. "No matter what it is", Giuliani told HuffPost over the weekend.
"The President is not saying he is going to pardon himself. He's got to have the discipline to put a stop to it, or we're going to have to do everything we can, including some things that I don't think we'd want to talk about right now, to try to, to try to appeal to have it stopped", he said.
Giuliani, who has been serving as Trump's lawyer, says that Mueller's team is "trying very, very hard" to frame Trump.
White House press secretary Sarah Huckabee Sanders acknowledged that "no one is above the law", including the president, but said the issue of a self-pardon is moot because "the president hasn't done anything wrong and wouldn't have any need for a pardon".
But Mueller is a Republican who was named special counsel by Deputy Attorney General Rod Rosenstein, who is also a Republican appointed by Trump. He is also looking into whether Trump tried to obstruct the investigation.