The incident took place on American Airlines flight AA 618, which took off from Dallas and was en route to Newark, according to the FBI and the airline.
The FAA said seats on hundreds of Boeing 737 MAX jets may require inspections in case they were incorrectly installed and needed to be fixed.
Officials said the aircraft, operated by the private carrier K2 Airways, reported a navigational system issue while flying with five people on board.
ABC News transportation correspondent Gio Benitez takes flight on Beta Technologies' new all-electric aircraft.
SkyWest, which operated the United Express flight, said the plane experienced a landing-gear tire issue on departure from Arkansas.