Season chicken cutlets evenly with salt and black pepper.
Heat olive oil in a large skillet over medium-high heat. Sear chicken for 5-7 minutes per side until the internal temperature reaches 165°F (74°C). Remove chicken from the pan and set aside.
Reduce heat to medium and add butter to the same skillet. Once melted, add minced garlic and sauté for 60 seconds until fragrant.
Whisk in heavy cream, chicken broth, oregano, and parmesan cheese. Simmer for 3-5 minutes, stirring frequently, until the sauce reduces and thickens slightly.
Add the fresh spinach and chopped sun-dried tomatoes to the skillet. Stir until the spinach has wilted completely.
Return the cooked chicken cutlets to the skillet. Spoon the sauce over the chicken and heat for 1-2 minutes until warmed through. Serve immediately.