Reaction to the selection of Chernow, who in the past has criticized Trump, appeared largely positive on Twitter - but Wolf was an exception. "Maybe I will go?"
Wolf appears to be referring to Mr. Trump's vow to stand with Saudi Arabia, regardless of the CIA's conclusion about the Saudi Crown Prince Mohammad bin Salman's involvement in the slaying of journalist Jamal Khashoggi.
According to Trump, Wolf "bombed so badly last year" that decision makers were left no choice but to ditch the tradition of having a comedian host the annual event.
Wolf's performance previous year was divisive.
Comedian Michelle Wolf made an enemy of the Trump administration after she used them as the butt of her jokes at the White House Correspondents dinner this year.
While Trump has not gone to the event since taking office, he did attend as a guest in 2011, when he was subjected to a blistering roast by then-president Barack Obama, who mocked the reality TV star for peddling the conspiracy theory that the Hawaii-born leader lacked a valid U.S. birth certificate. This week, the association took a more drastic step and announced that they were doing away with a comedian altogether next year. "And I couldn't be prouder", she wrote after the announcement on Monday.
Trump did not attend last year's Correspondents' Dinner, but he relentlessly bashed Wolf for savagely roasting press secretary Sarah Huckabee Sanders, who he sent in his place.
The @whca are cowards. He is also the author of a widely acclaimed biography of Alexander Hamilton, which inspired the hit Broadway musical "Hamilton".
Presidents have traditionally attended the dinner.
The White House Correspondents Dinner is a longstanding tradition that is a reminder of how important the relationship between government and the journalism that holds it accountable is.