Sprinkle 1 Tablespoon flour over mushroom mixture. Stir until flour is absorbed. Gently stir in beef broth. Let mixture simmer over medium heat until reduced a bit-about 10 minutes. Add 1 Tablespoon milk and 1 Tablespoon parsley. Taste for salt.
Pour remaining flour in a shallow bowl. Dredge pork cutlets in flour to lightly cover. You do not want a thick coating.
In large skillet over medium-high heat, melt 1 Tablespoon butter and 1 Tablespoon oil. Sear pork about 4 minutes a side until golden brown and cooked through.
While the noodles are still hot stir in 1 Tablespoon butter and 1 Tablespoon parsley.
Serve pork with mushroom sauce and noodles on the side.