In a mixing bowl, whisk together eggs, flour, water (or dashi), salt, and pepper until smooth.
Fold in shredded cabbage until fully coated and combined into a thick batter.
Heat vegetable oil in a non-stick skillet over medium heat.
Pour 1/2 cup of batter into the skillet and flatten into a pancake shape, about 1/2 inch thick.
Cook for 4–5 minutes on each side until golden brown and crispy.
Transfer to a plate and top with Japanese mayonnaise, sriracha, sliced scallions, or bonito flakes as desired.
Serve warm and enjoy your homemade Cabbage Pancakes (Okonomiyaki).