If you are using a version of the game that utilizes a Steam emulator, you can change your name directly in the config files.

: Some users have found that unplugging racing wheels or controllers before starting the name-entry screen can sometimes resolve keyboard-recognition issues that mimic the bug. Review: Is It Worth It? Complete Personalization

By following these steps, you should be able to assign your custom identity to your driver and enjoy the nostalgic career mode without the "Player 1" annoyance.

F1 2013 Name Change Fix Best Here

If you are using a version of the game that utilizes a Steam emulator, you can change your name directly in the config files.

: Some users have found that unplugging racing wheels or controllers before starting the name-entry screen can sometimes resolve keyboard-recognition issues that mimic the bug. Review: Is It Worth It? Complete Personalization

By following these steps, you should be able to assign your custom identity to your driver and enjoy the nostalgic career mode without the "Player 1" annoyance.