Since 1977, Slonem had solo shows at many prestigious contemporary art galleries including the Fischbach Gallery in New York and the Serge Sorokko Gallery in San Francisco. His work has been exhibited globally, including in Madras, Quito, Venice, Gustavia, San Juan, Guatemala City, Paris, Amsterdam, Madrid, Stockholm, Oslo, Cologne, Tokyo, and Hong Kong. His work has been shown in thirty-one different museums including the Hunter Museum of American Art in Chattanooga, Tennessee, in 1981; the Museo Diocesano d'arte sacra Sant'Apollonia in Venice, Italy, in 1986; the Albany Museum of Art in Albany, Georgia, in 2007; the Istanbul Museum of Modern Art in Istanbul, Turkey, in 2007; Museo de Arte de El Salvador in San Salvador, El Salvador, in 2010; the National Gallery for Foreign Art in Sofia, Bulgaria, in 2010; the Alexandria Museum of Art in Alexandria, Louisiana in 2011, the Polk Museum of Art in Lakeland, Florida in 2012, the Moscow Museum of Modern Art in 2015, and the Russian State Museum in St. Petersburg, Russia in 2017, among others.