The Delaware Republican left Morgan's show Wednesday after refusing to answer a question about gay marriage. She complained that Morgan was being rude.
O'Donnell said Thursday she was more than a good sport in the face of "inappropriate" questions from Morgan.
O'Donnell was promoting her new book, "Troublemaker: Let's Do What it Takes to Make America Great Again." The tea party favorite won the GOP primary for Senate unexpectedly last year but lost the general election.
Morgan said it was the first walk-off he's had in 25 years of doing interviews.