Is packaged flake coconut safe to eat if not refrigerated after opened for 1 week?

It depends on the type of packaged flake coconut and how it was stored. If it's unsweetened and stored in a cool, dry place, it should be fine for up to a week. However, if it's sweetened or contains added ingredients, it's best to refrigerate it after opening to prevent spoilage. To stay on the safe side, it's always a good idea to check the expiration date on the package and follow the storage instructions provided by the manufacturer.