Heat oven to 400°F. Cook ziti with tablespoon salt to 2 minutes short of package time; drain.
Season chicken with 1/4 teaspoon salt and pepper. Lightly flour, dip in egg, and press into panko mixed with Parmesan. Discard coating ingredients touching raw chicken.
Heat 2 tablespoons oil in large skillet over medium. Cook chicken in two batches 3 to 4 minutes per side until golden and at least 165°F, adding remaining oil for second batch. Transfer to clean plate.
Lower heat; stir garlic 30 seconds. Add tomatoes, basil, and remaining salt; simmer 5 minutes. Fold in ziti; transfer to 9-by-13-inch dish.
Top pasta with breaded chicken and mozzarella. Bake uncovered 12 to 15 minutes until cheese melted and center 165°F.
Rest 5 minutes; spoon from underneath to serve sauced pasta with crisp-topped chicken.