She has received a Lucelia Artist Award from the Smithsonian American Art Museum; a Coutts Contemporary Art Foundation Award; and an Alfried Krupp von Bohlen und Halbach Foundation catalogue support prize. Zittel has also organized the smockshop, "an artist run enterprise that generates income for artists whose work is either non-commercial, or not yet self sustaining" by selling smocks; and High Desert Test Sites, "a series of experimental art sites" which "provide alternative space for experimental works by both emerging and established artists."