They say the reported abuse, which was shouted, occurred within the grounds of Springfield Stadium around 17:30 on 2 April.
They are now looking to speak with a middle-aged lady accompanied by a small child and French bulldog, as well as anyone else who may saw the incident, which is being treated as a “hate crime”.
Islanders with information are asked to contact PC Morris on 612612 or Crimestoppers anonymously on 0800 555 111.