Since Quincoces was a Basque pelota pala player before becoming a football professional, when his career finished, he was chosen by the Francoist authorities as President of the Valencian Pilota Federation, believing that Basque and Valencian handball sports were the same.
After Quincoces retired from football, he was appointed president of the Valencian Pilota Federation by the Francoist government. This decision stemmed from their belief that Basque pelota and Valencian handball were essentially the same sport.