Crack eggs into a medium sized bowl. Add ground pepper. Whisk with a fork until well combined.
In a medium sized non-stick pan, heat vegetable oil. Add preserved radish (chai poh) and stir fry for about 2 minutes.
Pour in prepared eggs to cover base of pan. Allow eggs to cook and set for about 2 to 3 minutes.
Flip omelet over and allow it to cook and brown for another 2 to 3 minutes.
Remove and serve immediately.