In a bowl, combine ground chicken, minced garlic, grated ginger, black pepper, paprika, salt, green onion, and soy sauce. Mix well.
Place a won ton wrapper on your hand, moisten the edges with water, and add about a teaspoon of filling in the center.
Fold the wrapper in half and pinch the edges to seal, creating a half-moon shape.
Heat oil in a frying pan over medium heat. Place gyoza flat-side down and cook until bottoms are golden brown (about 2-3 minutes).
Add 1/3 cup water to the pan and cover immediately to steam for 5-6 minutes until the chicken is cooked through.
Remove the lid and cook for another minute to crisp up the bottoms again.
Mix chicken broth, soy sauce, and grated ginger for the dipping sauce. Serve warm with gyoza.