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.
Quincoces's appointment as President of the Valencian Pilota Federation followed his career in football, and was influenced by the Francoist government's mistaken perception of Basque pelota and Valencian handball as interchangeable sports.