Asana has always had a straightforward way to forward emails into Asana using a special [email protected] address. But that system has always left a few things to be desired...no way to add due dates, assign projects easily, or link back to Gmail.
Asana has partnered with Google to release Asana for Gmail, which is available in the G Suite Marketplace. It helps you turn emails into tasks without leaving your Gmail inbox. This is a native part of Gmail regardless of what browser you use; it's not a Chrome extension.
Here's the details you need to know