Jean-Michel Basquiat was present while they were shooting the scenes in the apartment, sleeping on the floor in a sleeping bag.
The book Allie gives Leila is "Maldoror and Poems" by Lautreamont (Penguin Classics 1978), one of the earliest surrealist stories.
The final shot of the film is an homage to the final shot of Chantal Akerman's News From Home (1976)
This film is featured on second disc of the Stranger Than Paradise (1984) DVD released in 2007 by the Criterion Collection.
The film's title is taken from a lyric in the song "My Boyfriend's Back", by The Angels; "If I were you, I'd take a permanent vacation". This part of the song minus the film's title can be heard on the radio of the car Allie is selling.