The interview was taped just one day before Trump departs on a high-stakes trip to Asia, during which he will visit five countries over the course of 12 days.
Trump and Ingraham discussed his trip to Asia, Fusion GPS, DACA, the U.S. justice system and much more.
Trump doubled down in his criticism that the justice system is a "joke" and a "laughing stock."
He lamented that New York City terror suspect Sayfullo Saipov could be "tied up forever in the court system."
"You look at some of the cases that are going on forever and you have them dead to rights," Trump said. "No, the justice system has to go quicker. And it has to be, really, stronger and fairer."
Ingraham made her debut in the 10pm timeslot on Monday with a news-making interview with White House Chief of Staff John Kelly. On Wednesday, she was joined by Supreme Court Associate Justice Clarence Thomas for a rare interview.