Can You Keep Your Credit Card Accounts Open After Using A Debt Management Service?

Just wondering if anyone has used a debt management service and knows if this is possible. I know they set them to automatically close when they are finished, but does anyone know if you can contact the credit card company and ask them to leave it open once it is paid off? The reason I ask is because I know it is better for your credit score to have accounts that are a few years old open, with available credit, rather than closing them when they are paid off.