Season both sides of the chicken cutlets with salt and black pepper.
Heat olive oil in a large skillet over medium-high heat.
Add chicken to the skillet and sear for 5 to 7 minutes per side until the internal temperature reaches 165 degrees Fahrenheit (74 degrees Celsius).
Remove chicken from the skillet and set aside on a plate.
Reduce heat to medium, add butter to the same skillet, and sauté minced garlic for approximately 60 seconds until fragrant.
Pour in heavy cream and chicken broth, whisking to deglaze the pan drippings.
Incorporate dried oregano and dried thyme; bring the liquid to a gentle simmer.
Stir in grated Parmesan cheese and continue to simmer for 3 to 5 minutes until the sauce achieves a thickened consistency.
Return the chicken to the skillet, spooning the sauce over each piece to coat.
Garnish with fresh parsley before serving.