The Hollywood Reporter previously reported that the embattled best actress Oscar nominee will no longer be flying to L.A. for any of the film's awards activities this week.
A New York Times report last year alleged that the unreleased documentary accused the late musician of physical and emotional abuse.
After becoming a hit in the fall, the Kathy Bates-starring legal drama from creator Jennie Snyder Urman returned Jan. 30 with a focus on women in the workplace and mom guilt.
Azaria voices bartender Moe, Chief Wiggum and Comic Book Guy, among others, on the long-running animated comedy.