Notts County assistant head coach Maurice Ross resigned after allegations that he made a “racially insensitive comment” to a black player at the club.
Ross, who is originally from Dundee, was appointed in March, but left his role on Monday following the incident during Saturday’s draw at Altrincham.
The ex-Rangers defender has apologised and called the remark “unacceptable”.
It is understood he resigned before any disciplinary procedures could be started against him by the club.
Ross, who was capped 13 times for Scotland, said: “I made an ill-judged comment to a member of our playing staff which has led to my departure from the club.
“I would like to place on record my apologies to the player.
“While it was said in the heat of the moment with no malice intended, it was nevertheless unacceptable and I’m devastated by the impact it’s caused.”
On Monday Notts County said Ross, who had spells with Aberdeen, Motherwell and Livingstone, had left the club “with immediate effect”.
The club have not yet commented on the reasons behind his departure, and the identity of the player at the centre of the racism row has not been made public.
Ross also appeared for Millwall, Wolves and Norwegian side Viking during his 13-year professional playing career.