Bannon, who recently resigned as chairman of Breitbart News, was named CEO of Donald Trump's presidential campaign in August 2016.
"It certainly wasn't something I expected, and it's certainly not something I feel good about", Wolff said on ABC's "The View" when asked if Bannon's leaving was a direct result of the book's publication.
Trump lashed out at Bannon for comments made in Michael Wolff's "Fire and Fury: Inside the Trump White House", which questions the president's fitness for office.
President Trump perplexed political pundits when he boasted Thursday that he has "a very good relationship" with North Korean dictator Kim Jong Un, while in the same breath deriding his former right hand man Stephen Bannon as a traitor.
As late as last weekend, Bannon continued to tell people that he planned to stay in charge at Breitbart and that Solov supported him.More news: Merkel wants to seal coalition deal with SPD swiftly
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After resuming his position at Breitbart, Bannon set out to challenge Republican incumbents deemed insufficiently loyal to the Trump administration. In the book, Bannon is quoted as saying a pre-election meeting involving Trump's eldest son Donald Jr. and a Kremlin-linked Russian lawyer was "treasonous". The former Trump campaign chief and White House adviser is gearing up for his interview with House investigators next.
Bannon doesn't quit, though, and he'll be back. The Daily Beast first reported on Thursday that he had agreed to the interview. Mr Bannon, a former investment banker turned Hollywood producer turned conservative activist, was at that time connected to Breitbart News, which he helped co-found.
The House Intelligence Committee is one of three congressional panels investigating Russia's meddling in the 2016 presidential election and links to the Trump campaign.