He held visiting appointments at the University of Pennsylvania; the University of Auckland, New Zealand; Mount Holyoke College; Princeton University; the University of California, Los Angeles, and the University of Pittsburgh. From 1972 until his death, except for two years at the University of California at Riverside in the mid-1980s, he taught at University of Texas at Austin, serving as Quincy Lee Centennial Professor of Philosophy and Business. He was a member of the University of Texas Academy of Distinguished Teachers, which is devoted to providing leadership in improving the quality and depth of undergraduate instruction. Solomon was also a member of the inaugural class of Academic Advisors at the Business Roundtable Institute for Corporate Ethics.