Creating Pan-Fried Cabbage and Noodle Buns can be simple if you follow these straightforward steps:

1. Prepare the Filling: In a large bowl, combine the chopped cabbage, cooked noodles, onion, garlic, soy sauce, sesame oil, ginger, salt, and pepper. Mix until well combined.
2. Assemble the Buns: Take a round dumpling wrapper and place a spoonful of the filling in the center. Fold the wrapper in half and pinch the edges to seal securely. Repeat until all filling is used.
3. Heat the Pan: In a large skillet, heat the vegetable oil over medium heat. Ensure the oil is hot enough to sear the buns.
4. Pan-Fry Buns: Place the buns in the skillet in a single layer without overcrowding. Cook for about 3-4 minutes or until the bottoms turn golden brown.
5. Steam the Buns: Carefully add about ¼ cup of water to the pan and cover with a lid. This step helps steam the buns, cooking the filling completely. Allow steaming for about 5 minutes.
6. Uncover and Crisp: After steaming, remove the lid and cook for an additional 2-3 minutes, allowing any remaining water to evaporate and the bottoms to get crispy again.
7. Remove from Heat: Once they are nicely browned on the bottom and cooked through, transfer the buns to a plate.
8. Repeat: Continue assembling and frying the remaining buns in batches, adding more oil to the skillet as necessary.

These simple steps will help you create an incredible dish that impresses everyone at the dining table.