McKay did not mention his disability when he entered the McEwan Fraser Legal #HomeAdvantage Challenge competition and went on to take part.
He said he was overwhelmed to have won the award.
'To have been chosen as the Ladbrokes SPFL goal of the month for November is completely overwhelming and is truly beyond my wildest dreams, especially when all the goals this month were worthy winners,' he said.
McKay, from Monifieth in Angus, added: 'You will never know how much this means to me and my family and I am eternally grateful.'
Despite losing his leg, McKay plays football for Scotland's only amputee team, Partick Thistle Amputees FC.