He continued, "Let's stop worrying about the future all we have is today...Trump is on his hero's journey right now".
Mr. Trump is set to meet with West during a working lunch, where the two will discuss prison and sentencing reform.
West said he was raising the case of a 68-year-old prisoner.
When West was finished speaking, Trump told the reporters around them: "I tell you what ― that was pretty impressive".
According to the Washington Post's Felicia Sonmez, quoting from another Post reporter, West referred to his own comments as "a fine wine" and also, brace yourself, said he'd be open to running for president "after 2024". Brown, a civil rights leader, has met Trump previously. Near the end of the interview, Trump also went after his former chief economic adviser Gary Cohn, a key player in Woodward's book, saying, "I could tell stories about him like you wouldn't believe".
Trump calls West a longtime friend.
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While much of his focus revolved around Sears' online presence, upkeep on physical stores has diminished. Sears shares are down 35 percent this morning and trading at 38 cents a share.
See Hurricane Michael from Space in These Satellite Images
Many filled sandbags and boarded up homes and lined up to buy gas and groceries before leaving town. More than 380,000 homes and businesses in Florida were without power at the height of the storm.
West credited Mr Trump with stopping a potential war with North Korea and encouraged him to swap his usual Air Force One jet for a hydrogen-powered plane.
"We are one unit, we are one country, we are one unit in the history of time", Trump said.
Kanye West also enjoyed some lunch with President Trump in the private dining room of the Oval Office, which included a delicious meal that included caprese salad and roast chicken. He also described West as a "smart cookie".
Trump's "Make America Great Again" slogan, on the other hand, he claimed, makes him feel like a testosterone sufficient superhero who would play catch with his son.
He concluded his Oval Office meeting by standing up and giving Trump a hug.
Following the Oval Office meeting, the pair were scheduled to speak with Mr Trump as well as his daughter Ivanka and son-in-law Jared Kushner.