Can't log into Azure portal, authenticator approval does nothing
Sign in, get the push on Microsoft Authenticator, approve it, and the browser just keeps waiting until it times out. No number matching prompt shows either. Phone clock is correct.
Also look at the browser window when you approve. Most tenants use number matching now, so the sign-in page shows a two-digit number and the app wants you to type it in. If the browser tab is hidden behind something you never see the number and the approval just sits there.
And make sure the phone's time is set automatically. A clock that's even a few minutes out makes the 6-digit codes fail.
Does the push actually show the approve screen, or does it just come up as a notification? If you're approving from the lock screen notification, try opening the Authenticator app itself instead, the pending request should be sitting there, and approving it in-app tends to go through when the notification doesn't.
To get in right now: on the waiting screen there's usually a link like "I can't use my Microsoft Authenticator app right now". Pick the verification code option and type the 6-digit code from the app.
Once you're in, go to the Security info page under your account's sign-in settings and remove then re-add the Authenticator. A stale registration (phone restored from backup, app reinstalled) is the usual reason approvals vanish. On Android, also exclude the app from battery optimisation. If it's a work account and you can't change sign-in methods, your admin can reset your MFA registration.