Make the Batter: In a large mixing bowl, combine the flour, ice-cold water, kimchi juice, and sugar. Whisk until smooth.
Add Fillings: Fold the finely chopped kimchi and green onions into the batter until evenly distributed.
Fry the Pancake: Heat 1.5 tablespoons of vegetable oil in a non-stick skillet over medium-high heat. Ladle half of the pancake batter into the center of the pan and spread it thinly into a circle.
Crisp Both Sides: Cook for 3–4 minutes until the bottom is deep golden brown and crispy. Flip the pancake over, add a little extra oil around the edges, and cook for another 3 minutes while pressing down gently with a spatula.
Serve: Repeat for the second pancake. Mix the dipping sauce ingredients together and serve hot alongside the sliced pancakes.