The Exchange web client renders in the Teams website tab now â Chrome and Chromium-based Edge. I use the nightly build of FireFox and it says âBlocked by X-Frame-Options Policyâ

This isnât a way to get new mail notifications in Teams â youâve got to click over to the tab. But it does let you send a quick message without leaving Teams.
Itâs a little inconvenient, though, to have to navigate over to the right channel to find the website tab. You can also create a custom Teams application to access the Exchange website. Thatâs a little more complicated, but you basically need a manifest.json with static tabs to the inbox and calendar.
Install and open âApp Studioâ in Teams. Create a new app. Fill in the details — use the generate button to get an app ID. Since you’re not going to publish the app to the Microsoft app store, the info you use isn’t super important … the privacy and terms of use, specifically, aren’t something anyone is going to read.

And

In the âCapabilitiesâ section, add a personal tab

Add a tab for the mailbox:

If you wish, add a tab for the calendar â I prefer the weekly view, but you can replace âweekâ with âworkweekâ, âdayâ, or âmonthâ.

In the âTest and Distributeâ, click âDownloadâ.

Youâll get a zip file that you can side-load (i.e. itâs not an app published across the company). In âAppsâ, select âUpload a custom appâ

Locate the downloaded ZIP file and open it

Verify that your app looks right â the permissions are base permissions for all apps (we didnât add anything special)

Click âAddâ and youâll be able to select the new app from the ellipses in Teams.

And youâll have an app that can access your mailbox

Or a week view of your calendar
