Final sentence: "There are currently no plans for an iOS app." See Listen up: Google Podcasts is now on Android (Google blog) for more details.
"Google today is introducing a new standalone podcast app for Android. The app, called simply Google Podcasts, will use Google’s recommendation algorithms in an effort to connect people with shows they might enjoy based on their listening habits. While podcasts have previously been available on Android through Google Play Music and third-party apps, Google says the company expects Podcasts to bring the form to hundreds of millions of new listeners around the world. (Google Listen, an early effort to build what was then called a “podcatcher” for Android, was killed off in 2012.)Google launches a podcast app for Android with personalized recommendations -- The Verge
“There’s still tons of room for growth when it comes to podcast listening,” said Zack Reneau-Wedeen, product manager on the app. Creating a native first-party Android app for podcasts “could as much as double worldwide listenership of podcasts overall,” he said."