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The account status of either open or closed is not relevant to the issue of either the current balance of the continued reporting of derogs, such as monthly delinquencies or a charge-off.
A creditor closes a revolving account in order to stem further damage by increased debt balance on an already delinquent account.
Closing does not negate the debt (current balance) or preclude reporting of additional delinquencies.
Thus, account closure is not per se basis for update of the current balance to $0.
It means that you attempt to use the card, it will be rejected.
The current balance must be updated to $0 if the consumer pays the debt, or if the creditor sells the debt.
If the creditor has reported the debt to be sold, then the continued reporting of a balance is contradictory, and can be disputed.
However, the creditor can, if they have in fact sold the debt, simply update the current balance to $0. It will not require deletion of any reported derogs or of the account itself.
You can likely expect reporting of a collection by the new owner.
Yes, update of the debt balance to $0 on a sold debt will help your % util if the debt is revolving.
However, the debt itself is still out there in the ether, and the new owner can, at any time, report their collection on the debt.
Thus, any gain in scoring based on improved % util will more than be offset by addition of a collection if the debt remains unpaid.
Score improvement may be temporary.
Which leads to the clear advantage of preventing the addition of a new collection. It might be the ideal time to contact the new owner, if you know who they are, and make a pay for not reporting offer to provent the reporting of a collection.