When asked about answering written questions, sitting down for an interview with the special counsel team or some hybrid approach, the president didn't rule it out.
The months-long negotiations over a potential presidential interview have gone on through several different iterations of the Trump legal team. Current lead attorney, Rudy Giuliani, told ABC News in August that his team had submitted a response to special counsel Robert Mueller asking to limit the scope of an interview with Trump especially as it relates to obstruction of justice.
The president has said many times in the past tht he would be willing to speak with Mueller but would await his legal team's guidance.
When asked whether he would fire Rosenstein after the midterm elections, Trump reiterated he and Rosenstein have a "good relationship."
"Well I actually get along well with Rod," Trump said.
Trump said he's "surprised" the deputy attorney general will not appear on Capitol Hill to testify under oath after he was asked by some members of Congress to do so.
"Frankly, whether you were under oath or not shouldn't matter," Trump said. "He mentioned things to me that I would think would be fine for him to testify when Congress calls."
Monday, the president said he had no intent in firing Rosenstein ahead of their departure together aboard Air Force One to Orlando.
"When Kanye came out very strongly a number of months ago, something happened, my polls went up like 25 percent," Trump said. "The polls went through the roof – I think I can say I've honestly never seen that before to that extent."
"How do you impeach him? He's like this incredible person that it turned out to be such false, horrible charges what they did and they want to impeach him?" Trump said.
In an interview with the Washington Examiner, a conservative newspaper, Trump said that while any other Republican president would have "abandoned" Kavanaugh as a Supreme Court nominee, he "didn't even think about going the other way" during the Senate confirmation hearings.
Trump told the Examiner that "the easier path" would have been to withdraw his nomination while allegations were unfolding, but never thought about doing so.
During Kavanaugh's swearing-in ceremony, Trump apologized on behalf of the nation "for the terrible pain and suffering" that he and his family endured during his confirmation process.
On Devin Nunes
Trump also said that California Republican Rep. Devin Nunes “should get the Medal of Honor” for his role in pushing back against the Russia probe. "What he's gone through, and his bravery, he should get a very important medal."
The Medal of Honor is awarded for military heroism and Trump, shortly after his comments added: "Maybe we'll call it the Medal of Freedom because we actually give them, the high awards for civilians."
The Medal of Freedom is traditionally given to people recognized as having contributed to national or international security, arts and culture, or world peace efforts.
On Hurricane Michael
In the Fox & Friends interview, Trump also said relief efforts for Hurricane Michael “is going to go fast.”
On Wednesday, as Hurricane Michael barreled into the Gulf Coast, President Trump made his way to the northern corner of Pennsylvania for a Make America Great Again rally and political fundraiser.
“Our thoughts and prayers on behalf of the nation to everyone out there in the path of Hurricane Michael, especially in the Florida Panhandle were it’s hitting, and its hitting hard,” Trump said as the rally began. ”It’s a big one — one of the biggest we’ve ever seen.”
ABC News' Meridith McGraw and Alex Mallin contributed to this report.