Private and paid podcast feeds
Pocket Casts does not formally support password protected feeds. In some cases, you may be able to embed your username and password into the feed using this format:
Once you have formed the new URL, you can add it to Pocket Casts by pasting it in here: https://pocketcasts.com/submit. Don’t worry your feed will be kept private and never appear in search results and other places. It’s just for you. You can use the short URL you get back to quickly add it to the app.
If your feed is a private Patreon feed, you can also paste it in here: https://pocketcasts.com/submit
If this does not work for your feed, contact the podcast author.