Publish your Shopify Application in the App Store
From Shopify Wiki
Ready to share your app with the world?
Please read The Do's and Don'ts for publishing your app
Submit your app
Publishing your app is easy. When you’re ready to submit your app to go up on the Shopify App Store, hit this link on its page in the Partners area:
From there, you'll need to fill out a detailed form about how your app works. As this information will be part of your Shopify App Store installation page, provide thorough info about your app and a good quality logo. Demonstrate how your app can help improve business for Shopify merchants.
Once you've submitted your app, your app will be pending approval to be in the App Store. Review normally takes 1 to 2 weeks. A Shopify developer may require revisions before approval.
When your app is deemed ready for the App Store, it will be published and you'll be notified by email.