Video and pictures appearing online showed seats had been ripped out and thrown following the Dutch's side's 2-1 defeat last night.
One seat appeared to land on a group of stewards and police officers who were dividing the two sets of fans.
Another showed around six ripped-out seats lying behind police officers after the final whistle in the match.
It came after "instances of disorder" were dealt with by police in Glasgow ahead of the big match.
Fans registered their disgust on social media websites and called for European football's governing body Uefa to step in.
One message said: "Throwing seats, destroying Glasgow, trying to fight with Celtic supporters, just a disgrace to their club."
A Police Scotland spokeswoman described the scenes as "minor disorder". They had no details of arrests or injuries.
Earlier, Police Scotland confirmed there had been some reports of unrest but were quick to reassure the public that officers had "quickly got the situation under control".
Social media sites were flooded with with reports of violence and trouble in the city centre and Glasgow's east end ahead of kick-off.
Superintendent Brian McInulty said: "This game has been sold out, with thousands of fans attending the match. The area is busy but is being policed appropriately.
"Officers have dealt with some instances of disorder. However, the police response has been immediate and officers have quickly got the situation under control.
"We are experienced in dealing with major events and there is a significant policing operation in place to deal with any issues which may arise both at the ground and in the city."
On Monday a British Transport Police officer was injured after a riot involving between 40 and 50 football fans in Glasgow's Central Station at around 10.45pm. A 17-year-old male Dutch national was arrested and appeared at Glasgow Sheriff Court yesterday.
Further arrests had been made and they are still hunting other people in connection with the incident. No one was seriously injured.