Pat the chicken breasts dry with paper towels and season both sides generously with salt, pepper, dried basil, and oregano.
Heat the olive oil in your skillet over medium-high heat. Once shimmering, add the chicken breasts and sear for about 4-5 minutes on each side until golden brown and nearly cooked through. Remove the chicken from the pan and set aside.
In the same pan, reduce heat to medium and add the minced garlic. Sauté for about 30 seconds until fragrant, then stir in the chopped sun-dried tomatoes. Let them cook together for a minute to release their oils and flavor.
Pour in the chicken broth and heavy cream, stirring to combine. Bring the mixture to a gentle simmer, scraping up any browned bits from the bottom of the pan.
Stir in the grated Parmesan cheese until melted and smooth, then toss in the fresh spinach. Let the spinach wilt gently into the sauce.
Nestle the seared chicken breasts back into the creamy sauce. Cover the pan and simmer on low heat for another 5-7 minutes until the chicken is cooked through and the sauce has thickened to your liking.
Taste the sauce and adjust seasoning with salt and pepper if needed. Serve the chicken smothered in the creamy sun-dried tomato sauce alongside your favorite sides.