The call comes after allegations of heavy-handed behaviour by police in dealing with a weekend march by members of the so-called Green Brigade
Club officials have also said they will be writing to Strathclyde Police asking for a report on the events before Saturday's home match against Aberdeen.
A club statement said: "The safety and well-being of Celtic supporters is of paramount importance to the Club.
"The Club is very concerned to see imagery of Saturday’s march by members of the Green Brigade from Gallowgate to Celtic Park, and subsequent claims by supporters of police harassment and heavy-handed policing.
"This is an issue which the Club takes very seriously.
"Once again we would urge any supporter who feels that they have been a victim of such harassment to contact the Club with details in order that we can formally raise such matters with Strathclyde Police.
"We should remind supporters that the Club has set up a working group, which is independently chaired, to establish a Complaints Review Panel to oversee the complaints’ process and improve transparency.
"Any suggestion of collusion between the Club and Strathclyde Police is, quite frankly, ludicrous.
"The Celtic support has a long and well-established reputation for good behaviour and everyone is very proud of that and keen to ensure that it continues.
"In the meantime we will be writing to the Chief Constable to ask for a full report on Saturday’s events.