In a large skillet, heat olive oil and butter over medium heat until hot.
Season the chicken breasts with salt, pepper, and paprika on both sides.
Add the chicken breasts to the skillet and cook for about 5-7 minutes on each side, or until golden brown and cooked through. Remove the chicken from the skillet and set aside.
In the same skillet, add the sliced mushrooms and sauté for 3-4 minutes, until they’re soft and lightly browned.
Add the minced garlic to the mushrooms and cook for another minute, stirring frequently to avoid burning the garlic.
Pour in the chicken broth and scrape any brown bits from the bottom of the skillet. Bring to a simmer.
Reduce the heat to low, then stir in the heavy cream and thyme. Allow the sauce to thicken for about 2-3 minutes.
Return the chicken to the skillet, coating it well with the creamy mushroom sauce. Let it simmer for an additional 3-4 minutes.
Taste and adjust seasoning with additional salt and pepper if needed.