A 21-year-old fan has admitted assaulting Rangers defender Fernando Ricksen during the match against Aberdeen at Pittodrie on Saturday.
Cowie is restrained as he tried to kick Ricksen
Jason Cowie pleaded guilty to attempting to kick and punch Ricksen on the pitch.
He also admitted a breach of the peace by running onto the pitch, resisting arrest and behaving in a racially aggravated manner.
Cowie, of Grainger Street, Lochgelly, was remanded in custody for three weeks at Aberdeen Sheriff Court for social inquiry, community service and psychiatric reports.
Dons chief executive Keith Wyness urged the courts to take the strongest possible action against Cowie and pledged to ban him for life from Pittodrie.
Cowie aimed a kick at Ricksen while the Ibrox club were leading 3-1 during the second half.
The charge involving the racial aggravation arose from him calling a police officer an "English dick".
Not guilty pleas to assaulting a police officer and kicking him and attempting to pervert the course of justice by giving false details were accepted.
The court heard Cowie has a history of psychiatric problems and a long list of previous convictions.
The incident was the latest to mar matches between Aberdeen and Rangers.
There was trouble at the game at Pittodrie on 19 January last year after Aberdeen player Robbie Winters was struck by a coin.