In later years he worked as a teacher in Zürich, Switzerland, where he taught flautists Peter-Lukas Graf and Aurèle Nicolet, Conrad Klemm among others.

Jaunet held summer courses in Banff (Canada), Japan, Sweden, Holland and, near the end of his life (between 1982 and 1988), gave annual masterclasses in the Swiss cities of Thun and Obersaxen.

For many years, Jaunet played with the Zürich Woodwind quintet, which included André Raoult on oboe, Rolf Kubli on clarinet, Rudolf Leuzinger on bassoon, and Werner Speth on horn.

From 1947 to 1962, Jaunet was involved in baroque chamber music in the Zunfthaus zur Meise in Zürich, where he played with Hans Andreae (harpsichord), James Whitehead (cello), Claude Starck (cello), Karl Maria Schwamberger (viola da gamba), Hugues Cuenod (tenor), Hermann Leeb (lute, guitar), Heribert Lauer (violin) and others.

In 1961, he performed Pierre Boulez's "Sonatine for flute and piano" with Maria Bergmann in Zürich's Tonhalle, in the presence of the composer.

Wie Meister Ueben: André Jaunet (How Masters Practice), flute, Panton Zürich Editions 1966, 120 pages.