Fixing "Parsing the Package" errors on FireStick involves several methods. Firstly, ensure the app source is reputable and compatible with FireStick. Verify the internet connection's stability, as poor connectivity can interrupt downloads. Clear cache and data from the 'Settings' menu under 'Applications' to resolve potential corruption issues. Enabling 'Apps from Unknown Sources' within FireStick settings allows installation of third-party apps, addressing some parsing errors. Additionally, ensuring the app's APK file isn't corrupt and updating the FireStick's firmware or resetting it to factory settings can often resolve persistent parsing errors. These steps collectively aid in addressing the "Parsing the Package" issue on FireStick devices.