Need help removing an integration from a team in the Ring Central app.

On the right hand side of your conversation window is a shelf that can be expanded. When expanded you will see a list of members of the conversation, and a list of installed integrations. Find the Asana integration and click it. A modal will appear. Next to the status indicator is a pause button. Click the pause button and notifications will stop appearing. 

Let me know if that didn't solve your problem, and we can search for another solution.