The Latics are working with police to identify those responsible.
The Latics are working with Greater Manchester Police to identify those responsible for comments made to a club director at the Hurst Cross Stadium, the home of their Northern Premier League Premier Division opponents, on Saturday.
A statement on the club’s official website said: “It is with great sadness that Oldham Athletic has to report that racist comments were made at Ashton United last weekend towards one of the club’s directors.
“We all understand that football is a game built on opinion and emotion, but as recent events in the sport show, clubs will continue to take a zero tolerance approach to discriminatory behaviour to help enact positive change to make the game for everyone.
“As a result, the club are working closely with Greater Manchester Police who have offered their support and guidance to help identify those involved and will take the strongest possible action in conjunction with other relevant authorities to ensure this type of behaviour is eradicated from society.”
The news comes amid widespread condemnation of the online abuse England players Marcus Rashford, Jadon Sancho and Bukayo Saka received after missing penalties in the shoot-out at the end of the Euro 2020 final at Wembley on Sunday night.