He was elected a private teacher at the Magyar Királyi Szent Erzsébet Tudományegyetem (Hungarian Royal Saint Elisabeth University) in Pécs.

Between 1930 and 1940 Paul Schiller Harkai, László Tihamér Kiss, Hildebrand Dezső Várkonyi and Ferenc Mérei (he does after 1945) was in Hungary Jean Piaget's theories of psychological popularizers.

On 19 October 1940 Várkonyi moved to Kolozsvár to teach at the Hungarian Royal Franz Joseph University,[1] which had just then been reorganised.

Other famous Hungarians such as Miklós Radnóti, Gyula Ortutay and Dezső Baróti, who were impressed by Várkonyi's intellectuality, attended his lectures.

In 1988, on the occasion of the 100. anniversary of his birth Institute of Psychology (Szeged) leader, Lajos Duró and his colleagues published a memory volume of his respect, and name a lecture hall after him.