Boil the noodles in a large pot of salted water according to package directions; drain. Arrange the noodles on baking sheets that have been lightly sprayed with nonstick cooking spray to prevent the noodles from sticking.
Preheat oven to 375°F. Spray a 12-inch cast-iron skillet or a 9 x 13-inch baking dish with nonstick cooking spray.
In a bowl or large measuring cup, whisk together the Alfredo sauce and buffalo wing sauce. Pour half of sauce mixture in the bottom of the prepared skillet or baking dish.
In a large bowl, whisk together ricotta, cream cheese, ¼ cup Parmesan, kosher salt, garlic powder, celery salt, and black pepper until smooth. Stir in the chicken, tomatoes, and parsley.
Spread about ⅓ cup chicken mixture onto each noodle; sprinkle each with 2 tablespoons of mozzarella or cheddar. Roll up noodles with filling; place rolls vertically in prepared pan.
Pour remaining sauce mixture all over rolls in pan. Spray a piece of foil with cooking spray; cover skillet or dish with the foil, sprayed-side down.
Bake until rolls are heated through, about 30 minutes. Uncover rolls, and sprinkle with remaining ¼ cup Parmesan. Increase heat to broil. Bake until cheese melts and the top of the noodles gets browned and crispy, about 2-3 minutes more. Keep a close eye on the lasagna roll ups while they’re under the broiler, since they can burn quickly. Let stand for 10 minutes before serving. Garnish with parsley, if desired.