Zoom on macOS Sequoia: share your screen and allow remote control

How can somebody see my screen?

Start sharing in Zoom and stop again straight away. That sounds roundabout, but it is the trick: macOS only lists an application after it has asked once. Before that you will look for it in vain.
Open the Apple menu at the top left and choose System Settings . Faster: press Command+Space and type " System Settings ".
Go to Screen & System Audio Recording .
Lets the application read what is on the screen — which is what the others then see.
System Settings > Privacy & Security > Screen & System Audio Recording
Open Settings nowOpens System Settings directly at the right place. If nothing happens, the path beside it gets you there just as well.
Find zoom.us in the list. Careful: the entry is called zoom.us , not Zoom — looking for Zoom makes people think the application is missing. If it is not there at all, the + below the list is the way in.
Turn on the switch next to zoom.us .
tccutil reset ScreenCapture us.zoom.xos
Click Share Screen in the Zoom bar at the bottom and choose Desktop . For remote control it has to be the whole screen, not a single window.
Now really quit Zoom — Command+Q, not just closing the window — and start it again. macOS does not apply a freshly granted permission to a running application, and this is exactly where most people get stuck: everything is set correctly and it still does not work.

Everything in the section above still applies. Only this is added:

Go to Accessibility .
Lets the application move the mouse and type. Without it somebody can watch, but touch nothing.
System Settings > Privacy & Security > Accessibility
Open Settings nowOpens System Settings directly at the right place. If nothing happens, the path beside it gets you there just as well.
Find zoom.us in the list. Careful: the entry is called zoom.us , not Zoom — looking for Zoom makes people think the application is missing. If it is not there at all, the + below the list is the way in.
Turn on the switch next to zoom.us .
tccutil reset Accessibility us.zoom.xos
Go to Input Monitoring .
Lets the application read key presses. Some applications ask for this in addition.
System Settings > Privacy & Security > Input Monitoring
Open Settings nowOpens System Settings directly at the right place. If nothing happens, the path beside it gets you there just as well.
Find zoom.us in the list. Careful: the entry is called zoom.us , not Zoom — looking for Zoom makes people think the application is missing. If it is not there at all, the + below the list is the way in.
Turn on the switch next to zoom.us .
tccutil reset ListenEvent us.zoom.xos
Now it is the helper: they click View Options at the top of their window and then Request Remote Control . Until they do, there is nothing for the guest to approve.
A bar appears at the top of your Mac. Click Approve there — then the helper clicks once into your screen for control to take effect.

How to tell which permission is missing — the symptoms resemble each other, the causes do not.

Screen recording: The others see a black rectangle or just your wallpaper, even though Zoom says at the top that you are sharing your screen.
Accessibility: Remote control is granted, but the pointer does not move and keystrokes do not arrive.
Input monitoring: The pointer moves, but keystrokes do not arrive. Only when: Only if Zoom asks for it of its own accord. Most installations do not need it.