Let’s dive into the step-by-step process of creating this delicious dish, infused with personal touches and tips from years in the kitchen.

1. Begin by seasoning the chicken breasts with salt and pepper. Heat the olive oil in a large skillet over medium-high heat.
2. Add the chicken breasts to the skillet and sear for about 4-5 minutes on each side until golden brown. Remove the chicken from the skillet and set it aside.
3. In the same skillet, add the chopped onion and sauté until translucent, about 3 minutes. Then, add the minced garlic and cook for an additional minute.
4. Add the sliced mushrooms to the skillet and cook until they are browned and tender, stirring occasionally, for about 5 minutes.
5. Pour in the chicken broth, allowing it to deglaze the pan. Scrape up any flavorful bits from the bottom of the skillet.
6. Reduce the heat to low and stir in the heavy cream and Parmesan cheese. Add the dried thyme and stir until the sauce begins to thicken.
7. Return the chicken breasts to the skillet, spooning the sauce over them. Cover and let the chicken simmer in the creamy sauce for about 10-15 minutes, or until cooked through.
8. Once done, garnish with freshly chopped parsley and serve hot.

Personal tip: To ensure your chicken remains juicy, avoid overcooking it. Using a meat thermometer can help; aim for an internal temperature of 165°F.