In her later years, Glaz became a celebrated voice teacher and opera director. She taught voice at the Manhattan School of Music from 1956 to 1977, University of Southern California from 1977 to 1994, the Aspen Music Festival between 1987 and 1994, and privately from her homes in New Haven and Los Angeles. Her notable pupils included sopranos Susan Davenny Wyner and Sally Sanford, and mezzos Gail Dubinbaum, Jacalyn Kreitzer, and Cynthia Munzer. In 1963 she founded the New Haven Opera Society which later became the New Haven Opera Theater (NHOT). She served as NHOT's director until the company disestablished due to financial reasons in 1976. With the company she presented 12 seasons of fully staged opera productions, as well as a highly active schedule of opera performances for school children.[3]