To stop playing Apple Podcasts, you can follow these steps:

1. Open the Podcasts app on your iPhone, iPad, or iPod touch.
2. If a podcast is currently playing, it should appear at the bottom of the screen. Tap on it to bring up the full player.
3. Tap the pause button to stop the podcast from playing.

However, if you want to turn off Apple Podcasts in the sense of disabling it or removing it from your device, you can do so by deleting the app:

1. Find the Podcasts app on your home screen.
2. Press and hold the app's icon until a menu appears.
3. Tap "Remove App," then confirm by tapping "Delete App."

Keep in mind that deleting the Podcasts app will also remove any downloaded episodes. If you want to listen to those episodes in the future, you'll need to redownload them.