Police are investigating after three officers were hurt during a protest at Celtic Park.
Hundreds of fans gathered to call for manager Neil Lennon’s sacking on Sunday evening after a 2-0 defeat by Ross County.
The League Cup exit extended a bad run of form, which sees Celtic 11 points behind Rangers in the league as they chase a historic tenth title in a row.
A barrier was breached before supporters clashed with police officers during the protests.
Celtic players and staff had to be escorted from the stadium, with the club later condemning the violent scenes. Lennon could hear the angry chants calling for his head from inside the stadium.
Glasgow is currently in level four of the coronavirus alert system, with large-scale gatherings outlawed.
The scenes were condemned by First Minister Nicola Sturgeon, who said: “I don’t care if it’s Celtic fans, Rangers fans, Ayr United fans or if they are not fans of football at all, anyone who attacks a police officer is doing wrong and that is pretty despicable.
“I say that across the board regardless of football or any other sporting affiliation.”
Police Scotland has now launched an investigation to trace those responsible.
Chief superintendent Mark Sutherland said: “I was saddened to see the disgraceful and violent scenes at Celtic Park on Sunday evening, it is unacceptable and will not be tolerated.
“Three of my officers suffered injuries, albeit minor as a result of the violent behaviour which took place. The chief constable has made it clear that violence towards officers and staff will not be tolerated and I am wholly committed to that within Greater Glasgow.
“We should not forgot that protest of any type is illegal. While we remain in tier four and beyond, the disorder and violence this gathering presented posed a real risk of coronavirus infection to our officers and the wider community with no social distancing in place.
“We have now launched an investigation to identify those who were involved in the disorder and violence towards police officers, players and officials.
“My message is clear, if you are identified as being involved, you will be arrested. Don’t think just because you weren’t arrested last night that you have escaped justice.
“I would appeal to anyone who has any information that will assist this investigation to contact us through 101.”