Preheat oven to 375° Fahrenheit. Adjust racks as needed so skillet can sit in center of oven.
Return skillet to stovetop and reduce heat to medium-low. When skillet has cooled slightly, add 2 tablespoons minced garlic. Sauté garlic 30 to 60 seconds, stirring often, or until garlic is just fragrant.
When garlic is fragrant, add ¾ cup low-sodium chicken broth to skillet. Stir to incorporate broth, making sure to scrape up any browned bits of chicken or garlic that may be stuck to bottom of skillet.
Move skillet to cool stovetop burner. Let skillet cool 2 to 3 minutes, then add ½ cup heavy cream. Whisk heavy cream into chicken broth until fully incorporated.
When cream and broth are fully incorporated, sprinkle ½ cup grated fresh parmesan cheese into mixture. Gently whisk parmesan into liquid until cheese is completely melted.
Once cheese has melted, return skillet to burner over medium-low heat. Continue stirring 1 to 2 minutes or until skillet returns to full temperature.
Add 1 cup sun-dried tomatoes, 1 teaspoon dried oregano, and ½ teaspoon crushed red pepper flakes to cream sauce. Gently stir ingredients together until well blended. Taste sauce and adjust salt, pepper, oregano, and/or red pepper flakes as desired.
Bring sauce to slow simmer over medium-high heat, stirring mixture occasionally to prevent burning.