Luckily, Facebook allows you to do this on the desktop site. If you don’t receive calls in general, you can also block or mute individually, so they won’t be able to calls, or you won’t be notified when they call. Note: Turning this off will mean that voice calls get turned off as well, not only video calls.
Turning Off Video Call
Go to Facebook in your web browser.
In the bottom-right corner, select the Settings Cog.
Select Turn Off Video/Voice calls.
Select how long you want it turned off for.
Select Disable.
Stopping Videos Calls from Individuals
Muting Someone
Open ‘Messenger’ app.
Find the person among your conversations that you’d like to mute.
Tap on ‘I’ in the upper-right corner of the screen.
In the upper-right corner, just under the person’s profile picture, tap ‘Mute.’
Decide how long you’d like to mute the conversation with this person. You can do it ‘Until I turn it back on,’ which is, by far, the best option for ignoring someone’s Facebook Messenger calls. Muting means that you won’t be notified when they call you.
Blocking Someone
Open Messenger app.
Find the person you want to block on messenger.
Tap ‘I’ in the upper-right corner.
Select Block.
Choose to block them just on messenger, or Facebook entirely.