In a microwave-safe dish, place the potatoes and 1/3 cup of water.
Cover the dish and microwave on high until the potatoes are just barely fork tender, about 5-6 minutes.
Drain the potatoes and pat them dry.
Slice the chicken breast in half through their equators to create 4 thin filets.
Cover the chicken filets with plastic wrap and pound them to an even thickness.
Pat the chicken dry.
Whisk the flour, 1 teaspoon of the salt, the garlic powder, the onion powder, and the paprika together in a shallow dish.
Dredge each chicken breast in the flour and seasoning mixture, shaking off the excess. Transfer the chicken to a dry plate.
Melt 2 tablespoons of the butter in the olive oil in a large skillet over medium-high heat.
Once the butter and oil are hot, add the chicken and cook until golden and cooked through at 165 degrees F, about 4-5 minutes per side.
Transfer the chicken to a plate, but do not wipe the skillet.
Reduce the heat to medium and add the sun-dried tomato oil.
Once the oil is hot, add the sun-dried tomatoes, the shallot, and the potatoes, sautéing until the shallots are softened, about 2 minutes.
Add the garlic and the red pepper flakes and sauté until fragrant, about 30 seconds.
Reduce the heat to low and add the heavy cream mixture.
Mix the chicken broth with 1 tablespoon of cornstarch.
Add the chicken broth mixture to the skillet.
Stir in the parsley, the basil, and the oregano.
Bring the sauce to a simmer and scrape up the browned bits at the bottom of the skillet with a wooden spoon.
Simmer until the sauce has thickened, stirring often.
Turn the heat to medium-low and push the potatoes to one side of the skillet.
Stir in the parmesan cheese and cook until melted, about 1-2 minutes.
Season with salt and pepper to taste.
Add the chicken and heat until warmed through.
Serve.