Good morning, @CFrost1.
Welcome to the Community. I'd be more than happy to provide you with details about moving a QB Desktop subscription from old accountant to the client.
There isn't a way to directly move the subscription. However, the client can buy their own license/subscription plan.
They'll need to make sure their installation has the new license and product number. This is simple if they uninstall and reinstall using the new numbers. The company file will open properly so nothing will need to be done as long as they install the same version.
For future reference, review this guide on how to find the QB Desktop license details.
If you run into any trouble along the way, don't hesitate to come back. We're always here to lend a helping hand. Take care!