Cut tofu along the long side into 6 thin slices.
Season each piece with salt and black pepper.
Set up your breading station with 3 dishes. In the first dish, put 1/4 cup whole wheat flour. In the second dish, mix together the 2 tbsp whole wheat flour with the corn starch and water. Then in the third dish, add your breadcrumbs. You won't need all of the flour, batter, or breadcrumbs, but having excess is good to make sure every piece is evenly coated.
Dip each piece of tofu in the flour first, then the batter, and then the breadcrumbs. Make sure it gets even coated each time.
In a skillet or frying pan, heat up your oil. I shallow oil fried them to reduce the amount of oil in the tofu katsu. However you can also heat 2 cups of oil in a pot instead if you wish to fully deep fry them. Or see notes if you wish to bake.
Place breaded tofu into the oil for 4 minutes per side. It should be golden brown on both sides once ready to remove.
Place a couple layers of paper towel on a plate. Remove tofu cutlets from oil once cooked and place on the paper towel to absorb excess oil. Alternatively, you can use a wire rack to let the oil drain.