Donuts will stay good outside, in the pantry to the kitchen, for about a day or two. Donuts will stay good in the fridge for about a week. Cream or custard-filled donuts have to always be refrigerated and they will stay good for about 3 to 5 days. Frozen donuts will stay good for about 3 months in the freezer. Donuts don’t immediately go bad, but they do go stale and get hard pretty quickly