In Ohio, if you can tape record them saying that, then you will have a claim against them under the Fair Debt Collection Practices Act. It is illegal for a debt collector to threaten a person with arrest if they do not pay on a debt.
Most legitimate debt collectors have long since abandoned such practices so this is likely a con artist calling you and trying to get money out of you. If you pay this person anything, the person will never pay it to the actual creditor.
Further, if you run "Queen City Arbitration" through the database of Ohio companies at the Ohio Secretary of State's Office, you will not find a company by that name registered to do business in the state of Ohio.
Might not be a bad idea to report them to the Ohio Attorney General with any information (including a recording if you can manage it) and let them take it on.
