Do Tomatillos Need To Be Refrigerated . Instructions preheat the oven to 400 degrees fahrenheit. The fruits do not need to be wrapped or sealed and fare best when kept in an open container in a produce drawer. How to Store Tomatillos (2020 update) Simple Steps You Should Know from www.leekgarden.com Determine whether you will want refrigerate or freeze the tomatillos. You can tell when to pick a tomatillo by watching for the husk to burst. Moldy coconut water is nasty!