The Original Marry Me Chicken

Ingredients

• 3 tbsp. extra-virgin olive oil, divided
• 4 boneless, skinless chicken breasts
• Kosher salt
• Freshly ground black pepper
• 2 garlic cloves, finely chopped
• 1 tbsp. fresh thyme leaves
• 1 tsp. crushed red pepper flakes
• 3/4 c. low-sodium chicken broth
• 1/2 c. finely chopped sun-dried tomatoes
• 1/2 c. heavy cream
• 1/4 c. finely grated Parmesan
• Torn fresh basil, for serving