Audible offers you the option to pause your subscription for up to 3 months. You can read here which settings you have to make for this..
Have you amassed a supply of audiobooks at Audible and just need some time to listen to them? Or are you unable to find any audiobooks for your accumulated credits? Then you can pause your membership. If you take a break, you will not be charged any fees and your balance will remain unchanged until your membership is resumed. You can still enjoy most of the Audible benefits, but you will not receive any new credits or Amazon Originals during the break.