Welcome to Android Central! If it shows up in the Play Store app on your Chromebook (make sure to use the app, not the website), then you know it's compatible. Whether or not it's easy to play on the Chromebook, or if it's glitchier compared to a phone or tablet, that's harder to say. Remember that you can always get a refund on the Play Store within 48 hours of purchase, so buy it and play it for a while to see if it works well. https://www.androidpolice.com/how-to-get-a-refund-from-the-google-play-store/