Season the chicken breasts generously with sea salt, freshly ground black pepper, and dried thyme on both sides.
In a large skillet, heat the extra virgin olive oil over medium-high heat and sear the chicken breasts for about 5-6 minutes on each side until golden brown and fully cooked. Remove and keep warm.
In the same skillet, reduce heat to medium, add unsalted butter, and sauté the sliced mushrooms for about 5 minutes until browned. Add minced garlic and cook for another minute until fragrant.
Lower the heat to medium-low, pour in the heavy cream, and stir to combine. Gradually add the Parmesan cheese, stirring until melted and smooth.
Return the seared chicken to the skillet, spoon sauce over it, and let it simmer for 2-3 minutes.
Transfer the chicken to serving plates, spoon more sauce over the top, and garnish with chopped parsley.
Notes
Serve on a bed of rice or mashed potatoes for a complete meal.