This did not hinder his reputation; by the late 1940s, he was widely regarded as one of Poland's greatest living composers,[3] alongside Grażyna Bacewicz and Andrzej Panufnik.
While in Munich, Palester worked for Radio Free Europe, as the head of its Polish culture department and as the presenter of a series entitled "Music Abolishes the Frontiers."
In recent years, Palester’s music has largely fallen from the public view in Poland, in part due to his emigration to France.
In 1999, Zofia Helman wrote a monograph on his work in an attempt to restore Palester's position as a significant modern Polish composer.
Describing Palester's individuality, Helman wrote that he stood as an example of "new compositional thinking, different not only from the musical production of the early 1950s that was burdened by Socialist Realist ideology, but also from the autonomous Neoclassical current that remained dominant among Polish composers".