Yes, you can put podcasts on your Apple Watch. Here's how you do it:

1. Open the Apple Watch app on your iPhone.
2. Scroll down and tap 'Podcasts'.
3. Decide how you want episodes to be added. You can choose to sync specific podcasts, or the most recent episodes of all podcasts.
4. Once you've made your selections, the podcasts will automatically sync to your Apple Watch when it's charging.

After syncing, you can listen to podcasts on your Apple Watch without your iPhone. Just connect a pair of Bluetooth headphones or a speaker to your watch, and you're good to go.