Peterhead general manager Nat Porter has told Sky Sports News that any supporter found guilty of racist abuse will be banned from the ground.
Police Scotland and the SPFL have launched an inquiry into the alleged racial abuse of East Stirlingshire footballer, Jordan Tapping, during Saturday's League Two match.
The 17-year-old was substituted following reports of monkey chants and name calling aimed in his direction during the game, which league leaders Peterhead won 4-0.
Porter told Sky Sports News: "What we've done is we have reported the matter to Police Scotland and we can confirm a criminal inquiry has been launched.
"We have also been working in conjunction with our supporters club and a lot of the fans who identified who were in that vicinity at the weekend and I am pleased to say that the inquiry is progressing well.
"The police were here a lot of the day on Monday and the interview process is already underway and good progress is being made.
"We are extremely disappointed and we find it deplorable and we condemn any action of this nature. We work very closely with Show Racism the Red Card in Scotland and we have already worked on a few initiatives with them and we are planning more activities with them in the near future.
"We can safely say that anyone found guilty would not be welcome at Balmoor stadium but we would leave it in the hands of the police and we will be guided by them."