Start by preparing the chicken breasts. Pat them dry with paper towels and season both sides with salt and black pepper.
Heat the olive oil over medium-high heat. Once hot, add the chicken breasts and cook for about 5-7 minutes on each side, or until they are golden brown and cooked through. Remove the chicken from the skillet and set aside.
Pour in the chicken broth and bring it to a simmer. Scrape any browned bits from the bottom of the skillet using a wooden spoon.
Reduce the heat to medium-low and stir in the heavy cream, mixing well to combine. Allow it to simmer for about 2-3 minutes.
Add the chopped spinach, dried oregano, dried thyme, and dried basil to the skillet. Stir gently and let it cook for another 3-4 minutes until the spinach is wilted.
Return the chicken breasts to the skillet and allow them to simmer in the creamy sauce for an additional 5 minutes.
Stir in the grated Parmesan cheese until it melts and is well incorporated.
Taste and adjust seasoning with additional salt and pepper if necessary.
Serve the creamy herb chicken hot, garnished with fresh chopped parsley.
Notes
Pairs well with mashed potatoes or rice and a light salad.