If you are using data integration tools like or ArcGIS , you can automate the process of writing features directly into a ZIP archive:

This will help me provide the exact steps or code snippet for your specific environment. automate export and zipping features - Esri Community

: Use this if the "feature" already exists as a separate file and you just want to move it into the ZIP. 3. Manual Feature Extraction (Scrivener / General)

If "writing a feature" refers to creating a backup or a specific project version: