Heat olive oil in a large skillet over medium heat. Season the chicken breasts with salt, pepper, and oregano.
Add the chicken to the skillet and cook for about 7-8 minutes per side, or until golden brown and cooked through. Remove from the skillet and set aside.
In the same skillet, add minced garlic and sauté for about 30 seconds until fragrant.
Add the cherry tomatoes and cook until they start to soften, about 3-4 minutes.
Stir in the chopped spinach and cook until wilted, about 2 minutes.
Pour in the chicken broth and bring to a simmer.
Reduce the heat to low and stir in the heavy cream. Let simmer for another 2-3 minutes.
Add the cooked chicken back into the skillet, followed by grated Parmesan cheese. Stir until the cheese has melted and everything is well combined.
Adjust seasoning with salt, pepper, and red pepper flakes if desired.
Notes
Serve with crusty bread or over rice for a complete meal.