The answer is, Yes, you keep books if you cancel Audible membership.
If you have an Audible membership and you’ve purchased any audiobooks, don’t worry, you get to keep them even if you decide to cancel your Audible subscription. The audiobooks you’ve bought with your credits or money become a part of your personal library, and you’ll have permanent access to them, even after you cancel your membership.
But here’s a little catch – if you have any unused credits left on your account when you cancel, they will expire. So, it’s a good idea to make sure you use up your credits before you proceed with canceling your membership.
So, in a nutshell, any audiobooks you’ve acquired on Audible will always be yours to keep, whether you continue with your membership or decide to cancel it.