Prepare to dredge the chicken breasts by placing the flour, egg, and bread crumbs in separate bowls. Next, using standard breading procedure, dredge one chicken breast in the flour, then dip it in the egg bowl. After allowing the egg wash to drip "clean", dredge the chicken in the bread crumbs. Repeat process with other chicken breast and set aside.
Using a large oven-safe skillet, heat the olive oil over medium high heat. Place both chicken breasts in the hot oil and brown each side for about five minutes. After browning the chicken on the stove top, place the skillet in hot oven for 30 minutes (or until chicken is done.)
When the chicken is done, remove from oven and allow to cool slightly. Next, prepare the ramen noodles as directed on package. Then, in a large bowl, mix all of the ramen noodles together along with the packets' seasoning. Cut chicken into ½" cubes, toss into bowl with the prepared ramen noodles and stir in grated Parmesan cheese. Serve immediately.
Garnish with chopped parsley if you want to dress-up this chicken ramen noodle dish.