To check the current time synchronization status and performance metrics such as system time, frequency, and estimated error, the chronyc tracking command should be used. This command provides detailed information about the performance of the timekeeping system, making it invaluable for diagnosing issues related to time synchronization. Other commands like chronyc sources, chronyc add server, and chronyc sourcestats serve different purposes: sources displays information about the time sources that are currently being used, add server is not a valid command, and sourcestats reports on the drift and dispersion of the sources being tracked. However, when it comes to verifying the synchronization status and performance of the server, chronyc tracking is the correct command to use.