Müller's first student was her own daughter Gabriele Seyfert, who twice won the World Championships (1969 and 1970). She also coached, among men, Günter Zöller, Jan Hoffmann, Nils Köpp, Rico Krahnert and Ronny Winkler; and, among women, Sonja Morgenstern, Anett Pötzsch, Katarina Witt, Evelyn Großmann, Martina Clausner, Marion Weber, Constanze Gensel and Simone Lang. Altogether, her students won three Olympic gold medals and ten world championship titles. In comparison, Carlo Fassi's students won four Olympic gold medals and eight world championship titles.
