Acker's work has been acknowledged by a number of younger writers working in an experimental style, including Michael Hemmingson, Stewart Home, Mark Amerika, Stevan Her'graves, Tribe 8 singer and writer Lynn Breedlove, Alexander Laurence, Tamil novelist Charu Nivedita, Michael Boatman, Noah Cicero, Travis Jeppesen, Salvador Plascencia, and Stephen Beachy. Kathleen Hanna of Bikini Kill and Kim Gordon, co-founder of Sonic Youth, have also acknowledged her influence.
Three volumes of her non-fiction have been published and re-published since her death. In 2002 New York University (NYU) staged Discipline and Anarchy, a retrospective exhibition of her works, while in 2008 London's Institute of Contemporary Arts held an evening of her films. Recently (2007) Amandla Publishing has re-published Acker's articles for the New Statesman from 1989 to 1991.