Petsche is member and honorary member of numerous national and international Societies, among them full member of the Austrian Academy of Sciences and of Deutsche Akademie der Naturforscher Leopoldina. 1957 - 1961 he was Vice-President of the Societities for Electroencephalography and Clinical Neurophysilogy. 1978 he became Scientific Director of the Herbert-von-Karajan Stiftung der Gesellschaft der Musikfreunde in Wien and had, as such, to organize biennial Symposia under the title "Brain and Music" until Karajan `s death in 1990.
Apart from these, Petsche organized for the Austrian Academy of Sciences and together with M.A.B. Brazier in 1972 a Symposium called "Synchronization of EEG activities in Epilepsies" (published by Springer, Wien) and by IBRO another one called "Architectonics of the cerebral cortex" (Raven Press, New York 1978).