Alan Burrows says he is giving up his seat to allow for 'freshness' at the league body.
The 17-year-old, who cannot be named for legal reasons, kicked a constable outside Hampden Park.
Christopher Jullien's goal separated the sides after a dramatic match at Hampden.
Steve Clarke's men will play England, Croatia and Czech Republic if they qualify for the Euros.
The second nationwide Fair Saturday will shine a light on culture and the arts.