A Fox News spokeswoman would not say whether the vacation was planned before the host made what some saw as a lewd joke about Ms. Trump.
Eleven current and former employees filed a class-action suit accusing the network of “abhorrent, intolerable, unlawful and hostile racial discrimination.”
Mr. O’Reilly addressed his fans in a podcast posted to his personal website, claiming that “the truth will come out” about multiple harassment allegations against him.
The former Fox News anchor is set to return to television with a Sunday evening newsmagazine and then a morning show scheduled for the fall.
Mr. Freedman sought higher ratings for the show “Twenty-One” by giving questions to contestants in advance, in the hopes of creating more dramatic competition.