About 4,000 fans came to support the Glasgow club at Old Trafford.
Tickets were only allocated to those already on the club database when the draw was made in August, the Manchester United spokesperson said.
They said same restrictions applied to tickets forwards by season ticket-holder and members.
“All examples of away fans in home areas will be investigated over the coming days, with the strongest possible sanctions taken against the registered holders.”
A GMP spokesperson said 26 of the arrests came from the disorder at Ancoats, where police escorted fans through the city centre.
Crowds of fans dressed in black with blue face coverings were seen flanked by officers marching through Exchange Square.