Hi Studio Brand,
Thank you for using the Apple Support Communities.
We understand that you want to get rid of the app that’s showing on your iPhone lock screen and we’re happy to help!
Based on the screenshot that you’ve posted, you would need to quit the Podcasts app.
"To quit the app, open the App Switcher, swipe right to find the app, then swipe up on the app.
If quitting and reopening the app doesn’t resolve the issue, try restarting iPhone."
The Apple Support resources below can also help.
Restart your iPhone
Listen to podcasts on iPhone
Quit and reopen an app on iPhone
Close an app on your iPhone or iPod touch
Best regards.