With the approval of the court, the parties have the right to compromise and settle child support arrears owed directly to the person owed support (family-owed arrears). State-owed debt cannot be forgiven.
It's on there because it is a debt assigned to you by Court Order. You can NOT remove it. You will stop paying it when your child support order is concluded.
The good news is yes, child support arrears can potentially be forgiven. You would need to have a joint petition filed along with the other parent though, showing that you are both in mutual agreement and jointly requesting that the arrears be waived or forgiven.
Once reported, the account will remain in your credit report for seven years from the date of delinquency. Unfortunately, paying off the balances doesn't remove the child support account from the credit report. However, the credit bureau will update the account's status once cleared.
You can contact the Attorney General's office to ask that the adverse reporting be removed. If there are arrears showing in your credit, you might ask the other parent to release the arrears so that the OAG's records show that you are current in your payments.