Rangers say they are working with Police to identify any season ticket holders involved in an incident on Sunday.
Video footage shows a section of the support walking through Glasgow City Centre singing anti-Irish songs.
Widespread condemnation followed and the Ibrox club have now reiterated their stance that they are against all forms of discrimination.
They have promised to continue to work against discrimination and called on those in power to focus on ‘eradicating’ an issue they have branded as societal.
Rangers banned supporters less than a week ago after they targeted Celtic star Kyogo Furuhashi with racist chanting and gestures.
And now it looks likely that they will ban any other season ticket holder who they find was part of Sunday’s march through the city centre.
A statement from the club said: "Following an incident on Sunday, we repeat that Rangers FC condemns all forms of racism, sectarianism and discrimination. We are working with the police to identify any season tickets holders.
"As a club, we are proud of our Everyone Anyone campaign, led through the Rangers Charity Foundation, our work with a wide range of stakeholders and our on-going dialogue with the Scottish Government.
"Discrimination of all forms is a societal issue within Scotland. Those with influence within Scottish discourse should put their energy into eradicating this very serious issue across all sections of Scottish society who suffer sectarianism, discrimination and racism of any form."
The incident happened ahead of Rangers' 1-0 win over Celtic in the Premiership on Sunday.
