She was greatly admired by such contemporaries as Otto Klemperer and Sviatoslav Richter; Richter wrote that "Annie Fischer is a great artist imbued with a spirit of greatness and genuine profundity." The Italian pianist Maurizio Pollini praised the "childlike simplicity, immediacy and wonder" he found in her playing. Her interpretations of Mozart, Beethoven, Brahms, Schubert and Schumann, as well as Hungarian composers like Béla Bartók continue to receive the highest praise from pianists and critics.