Whenever I put a video or app into full screen on my MacBook Pro the screen flickers and goes black for a second, and sometimes the menu bar stays stuck on top. Normal windows are fine. Anyone else seeing this?
Is it every app or mainly the browser / video? That changes the answer a lot.
If it's just Chrome or similar, turn off hardware acceleration in the browser settings and see if it stops. If it's everything, boot into safe mode and go full screen there. Clean in safe mode points at something you've installed (screen recorders and window managers are common culprits), still glitching points more at a display or graphics fault, and that's an Apple Store visit.
Also worth making sure macOS is fully updated before you go down that road.