Heat the oil in a large skillet over medium heat. Cut your chicken into 1-inch pieces while the oil heats. Season the chicken with salt and pepper. Place the cornstarch in a gallon-sized ziploc bag, and add the chicken and seal, tossing to coat.
Whisk the eggs together in a shallow bowl. Dip the coated chicken pieces into the whisked eggs, and place them in the hot skillet. Cook the chicken pieces for 1-2 minutes on each side, cooking until just browned. Place the chicken in a single layer in a 9x13 inch casserole dish.
Mix the hot sauce, brown sugar, water, vinegar and salt in a medium bowl and then pour over the chicken in the baking dish. Bake for one hour, turning the chicken once to coat with the sauce.