I'm not the person you asked, but I self-host AudioBookShelf (it's a podcast manager too), and listen to all my podcasts through its app, connected to my instance. Its app isn't as sleek or fast as Antennapod or some or the other ones, but it works fine.
That way I also automatically have all my podcasts backed up on my server too, if the creator of a podcast I listen to suddenly decides to delete everything and disappear.