Zlamany has been recognized with a Fulbright Fellowship (2011), awards from the Pollock-Krasner Foundation (2006), Peter S. Reed Foundation (2018) and New York Foundation for the Arts (1994), and artist residencies at Denali National Park, ADAH Abu Dhabi, Ucross Foundation, Yaddo, MacDowell Colony, Millay Colony for the Arts, and Triangle Arts Trust, among others. Her work belongs to public art collections including those of the Cincinnati Art Museum, Neuberger Museum of Art, Museum Kaneko, Virginia Museum of Fine Arts, World Bank, and Deutsche Bank.