Chrome Web Store and Google Play are different services. CWS does not have payment or subscription services, so you'll need to find another way to implement this. Without recommending or vouching for any services, some options I'm aware of in this space are
Stripe,
BrainTree,
Gumroad, and
ExtensionPay.
Generally speaking, the best path for website and extension monetization is to provide a web service (or a free product with a premium web service) that can only be accessed by paying customers. By splitting the implementation of a feature across the extension and a coordinating server, you can make it much harder for people to pirate your product.
Simeon - @dotproto