To remove the Apple Podcasts app from your iPhone, iPad, or iPod touch, follow the steps below:

1. Find the Podcasts app on your device's Home Screen.
2. Press and hold the app icon until a menu appears.
3. Tap on "Remove App".
4. In the new window, tap on "Delete App".
5. A warning will appear asking if you want to delete the app. Tap on "Delete" to confirm.

Please note that deleting the Podcasts app will also delete any data associated with it. However, the podcasts you've subscribed to and your listening history should still be available in your Apple ID and can be accessed if you reinstall the app.

Remember, some pre-installed apps cannot be removed. If these steps do not work, it may be that the Podcasts app is one of these. In this case, you can still hide the app by moving it to your App Library.