Google released a new feature “mute” in Gmail for mobile on the iPhone and Android-powered devices, that lets you quickly manage your inbox while you're on the go. To access mute - select a message and from the drop-down options on the Floaty Bar, tap 'Mute'. To try mute in Gmail for mobile, just go to gmail.com in your iPhone or Android-powered device's browser. To easily access your account, add a home screen link.