In a mixing bowl, combine ground pork, chopped cabbage, minced garlic, grated ginger, soy sauce, sesame oil, salt, and pepper.
Fill each gyoza wrapper with a teaspoon of filling. Wet the edge, fold it in half, then pleat the edges to seal it.
Heat the oil in a pan and arrange the gyoza in a single layer. Cook the bottoms till golden brown.
Cover the pan with water and steam the gyoza until fully cooked and the wrappers are transparent.
Serve with a soy sauce, rice vinegar, and chili oil dipping sauce.