Separate the other circuit board piece from the joystick connection using a plastic spudger.

The circuit board is wired through glue. If the plastic spudger is unable to pry the glue off, use the metal spudger as a last resort.

Take the joystick module itself and remove the four 8 mm screws that connect the joystick to the housing.

Unscrew the thumb stick from the module if a replacement is not needed.