Start by seasoning the chicken breasts with salt and pepper. Heat olive oil in a large skillet over medium heat. Once the oil is shimmering, add the chicken and cook for 4–5 minutes on each side until golden brown and fully cooked. Remove the chicken from the skillet and set it aside to keep warm.
In the same skillet, melt the butter over medium heat. Add the sliced mushrooms and cook for about 5 minutes, stirring occasionally. The mushrooms should turn golden and release their juices, adding depth to the dish.
Add minced garlic, thyme, and oregano to the mushrooms, stirring constantly for 1–2 minutes to release their aroma. Pour in the chicken broth, scraping up the browned bits from the skillet for extra flavor. Let the broth simmer and reduce by half, then stir in the heavy cream. Cook for 3–4 minutes until the sauce thickens slightly.
Return the chicken to the skillet, spooning the creamy sauce over it to warm through. Serve the chicken over a bed of buttered egg noodles, garnished with fresh parsley and grated Parmesan for a perfect finish.