Season the chicken breasts with salt and pepper on both sides.
In a large skillet, heat olive oil over medium-high heat. Add the chicken breasts and cook for about 5-7 minutes on each side until golden brown and cooked through. Once done, remove the chicken from the skillet and set aside.
In the same skillet, add the sliced mushrooms and sauté for about 4-5 minutes until they are golden and tender.
Add the minced garlic to the skillet with the mushrooms and sauté for an additional minute until fragrant.
Pour in the chicken broth, scraping any bits from the bottom of the skillet. Let it simmer for 2-3 minutes.
Reduce the heat to low and stir in the heavy cream and grated Parmesan cheese. Mix until the cheese is melted and the sauce is creamy.
Add the dried thyme and Italian seasoning, stirring to combine. Return the chicken breasts to the skillet, coating them in the creamy sauce.
Let the chicken simmer in the sauce for about 5 minutes to absorb the flavors.
Taste and adjust seasoning with salt and pepper as needed.