Asked earlier in the interview why he had chose to endorse President Trump publicly, West said he hadn't wanted to succumb to pressure to take the predictable option.
Kimmel had asked if West thinks Trump cares about the black community.
West appeared to take a long pause before Kimmel suggested to go to commercial break.
West was notably silent on the show when he was asked why he thinks the president cares about black people.
Jimmy Kimmel has also weighed in on the matter, writing that "Some answers need to be considered and a talk show with time constraints is a hard place to do that". I'm reading that I was stumped by a question, ' he said on Saturday. "And then I was hit with the let's go to commercial break". The question was so important I took time to think.More news: Rare teeth from ancient mega-shark found on Australia beach
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The rapper released his new song "XTCY" on Friday night via a tweet from DJ Clark Kent and the artwork of the track - which featured a shot of the Kardashian-Jenner sisters at Kylie's 21st - was something of a giveaway about the lyrical content.
Much of the interview that aired on ABC centred on West's views of the president, of whom he has been a vocal supporter in the past. According to the letter - obtained by TMZ - Kanye will have full artistic control.
After West's debacle on TMZ where he alluded to slavery being a choice, the artist took to Twitter and posted a quote from Harriet Tubman in an effort to better support his point.
On Saturday, West said there was no hard feelings between him and Kimmel despite their differing views.
It looks like there are no hard feelings between West and the talk show host as the rapper ended the stream of tweets by saying, "I appreciate Jimmy and his team".