If that doesn’t solve the problem, you have a second option, which requires a restart so you can invoke it from Recovery: If the gear is grayed out, click the lock icon and enter an administrative password.) (If the Sharing & Permissions section isn’t showing, click its triangle. Apple has the full instructions here, but here’s a recap: There are two ways to work through this problem: one doesn’t require restarting, so I recommend that one first, of course! You need to fix permissions in your Home directory with an extra Terminal step at the end. I get the message: “The document could not be exported as ‘name.’ You do not have permission.”
Since updating his Mac, he can’t save files via Save As.