In a bowl, combine the ground pork (or beef), cabbage, green onions, garlic, ginger, soy sauce, sesame oil, salt, and pepper. Mix well.
Place a wonton wrapper on a flat surface. Scoop about 1-2 tablespoons of the filling onto the center of the wrapper.
Wet the edges of the wrapper with water, then fold the wrapper in half to form a half-moon shape. Press the edges to seal.
Heat a large non-stick skillet over medium-high heat. Add a drizzle of oil.
Working in batches, place the dumplings in the skillet and cook for 2-3 minutes per side, or until golden brown.
Serve hot, with your favorite dipping sauce.
