Yes, you can play Apple Podcasts on Alexa. Here's how you can do it:

1. Open the Alexa app on your smartphone.
2. Tap on 'More' in the bottom right corner.
3. Select 'Settings'.
4. Scroll down and tap on 'Music & Podcasts'.
5. Tap on 'Link New Service'.
6. Choose 'Apple Podcasts' from the list.
7. You will be asked to sign in with your Apple ID to link your account.

Once you've done this, you can ask Alexa to play your favorite podcasts from Apple Podcasts. For example, you can say, "Alexa, play the podcast [podcast name] on Apple Podcasts."