Bring a large pot of salted water to a boil. Cook the noodles according to the package directions until tender. Drain well and toss with the 2 tablespoons butter. Set aside and keep warm.
Season the chicken breasts with salt and black pepper.
Heat the olive oil in a large skillet over medium-high heat. Add the chicken and cook for about 4–5 minutes per side, or until golden brown and cooked through. Transfer the chicken to a plate and set aside.
Reduce the skillet heat to medium and melt the butter. Add the sliced mushrooms and cook for about 5 minutes, until they begin to brown and release their juices.
Add the minced garlic, dried thyme, and oregano. Cook for 1–2 minutes, until fragrant.
Pour in the chicken broth, scraping up the browned bits from the bottom of the skillet. Bring to a simmer and cook until the broth has reduced by about half, approximately 5 minutes.
Stir in the heavy cream and bring the sauce back to a gentle simmer. Cook for 3–4 minutes, until slightly thickened.
Return the chicken to the skillet and warm through in the creamy mushroom sauce.
Serve the chicken over the buttered noodles and spoon the mushroom sauce over the top. Garnish with fresh parsley and grated Parmesan.