So, to answer your question, German Chocolate Cake should not be refrigerated, unless you absolutely have to. Instead, store it in an airtight container at room temperature, and make sure to check on it regularly to ensure it's not spoiling or drying out. And, if you're feeling unsure, just remember - a good cake is like a good friend: it should be soft, moist, and always there for you.
In conclusion, the next time you bake a German Chocolate Cake, don't be afraid to leave it out at room temperature. Your taste buds (and your cake) will thank you. And, if anyone gives you grief about it, just tell them that you're a cake expert, and you know what you're doing. After all, who needs refrigeration when you have cake magic on your side?