Season the chicken cutlets generously on both sides with salt, pepper, dried basil, and oregano.
Heat the olive oil in a large skillet over medium-high heat. Add the chicken cutlets and cook each side for 3-4 minutes until golden brown and cooked through. Remove the chicken and set aside.
Reduce heat to medium and add the minced garlic to the skillet. Sauté for about 30 seconds until fragrant, then add the chopped sun-dried tomatoes and stir to combine. Cook for 1-2 minutes.
Pour in the heavy cream, stirring to scrape up browned bits from the pan. Let the cream simmer gently for 2-3 minutes, then stir in the grated Parmesan cheese until melted and sauce thickens slightly.
Return the chicken cutlets to the skillet, nestle them into the sauce, spoon sauce over each cutlet, and simmer together for 2-3 minutes.
Remove from heat and garnish with fresh basil leaves. Serve immediately.