Director Luca Guadagnino stated in a video for Vanity Fair that the fringe in Maren's hairstyle came directly from the haircut of a character from Jonathan Demme's Das Schweigen der Lämmer (1991). The character in question is Stacy Hubka (played by Lauren Roselli).
During production, the film's crew were burglarized. The Cincinnati City Council with the mayor's support ultimately provided $50,000 in security costs.
Luca Guadagnino (Italian) was fascinated by Americans' love for corn but, not being American, didn't know how to incorporate it. So in the grocery store scene where Maren and Lee meet, you can see a random display of corn in a metal basket as Lee leads the man out.
Maren's birth certificate says that she was born in Menomonie, WI. Wisconsin was the home of famous cannibal and serial killer, Jeffery Dahmer. Wisconsin is also where Ed Gein was from, another famous serial killer who was accused of cannibalism (though he denied this).
Ethel Cain released the song Famous Last Words (An Ode to Eaters) inspired by the film, commenting "Can't stop thinking abt bones and all. This one's for Lee and Maren." The film deals with similar themes to Cain's debut album Preacher's Daughter.