In 1997, Francis Ford Coppola launched Zoetrope: All-Story, a quarterly magazine devoted to the best new short fiction and one-act plays. It has received every major story award, including the National Magazine Award for Fiction, while publishing today's most promising and significant writers: Mary Gaitskill, David Mamet, Ha Jin, Elizabeth McCracken, Yiyun Li, Don DeLillo, Andrew Sean Greer, Chimamanda Ngozi Adichie, Margaret Atwood, Salman Rushdie, Woody Allen, Yoko Ogawa, David Means, Susan Straight, Charles D'Ambrosio, David Bezmozgis, Neil Jordan, and Haruki Murakami among them.
We consider unsolicited submissions of short stories and one-act plays no longer than 7,000 words. Excerpts from larger works, screenplays, treatments, and poetry will be returned unread. We do not accept artwork or design submissions. Simultaneous submissions are accepted, and first serial rights and a one-year film option are required. We do not accept unsolicited revisions nor respond to writers who don't include an SASE.
To be published in Zoetrope... now that would be a feather in your writing cap. Take a look at their website to read their online offerings and for complete submission guidelines. http://www.all-story.com/index.cgi
You are a writer, WRITE. Don't be afraid of rejection, be afraid of never doing anything that could be rejected.