Start by seasoning the chicken breasts with salt and pepper on both sides. This basic step ensures your chicken is flavorful from the inside out. Next, heat the olive oil and butter in a large skillet over medium-high heat until melted.

Carefully place the seasoned chicken breasts in your hot skillet. Cook for about 6-7 minutes per side, or until the chicken is golden brown and cooked through. Remove them from the skillet and set aside. This helps keep the juices locked in.

In the same skillet, lower the heat a bit and add the minced garlic. Sauté for about a minute until the garlic is fragrant. Throw in the halved grape tomatoes next. Cook them until they start to blister and soften, around 3-4 minutes.

Once the tomatoes have released their juices, it's time to add in the spinach. Stir it for a minute until it wilts.

Pour in the heavy whipping cream and add the Parmesan cheese. Stir until the cheese melts and the sauce thickens slightly.

Return the chicken to the skillet, nestling it in the sauce. Sprinkle in the oregano, and season to taste with more salt and pepper if needed. Let the chicken simmer in the sauce for a few minutes. This step allows the flavors to meld.

Before serving, mix in the fresh basil and lemon zest, which brightens the dish and adds an aromatic finish. Serve it hot with lemon wedges on the side.