Pour in the low sodium chicken broth, scraping the bottom of the pan to release any browned bits.
Reduce the heat to low. Carefully stir in the room-temperature plain Greek yogurt, grated Parmesan cheese, and red pepper flakes until a smooth sauce forms.
Add the fresh baby spinach and simmer for 1 to 2 minutes until just wilted.
Toss the cooked penne pasta into the creamy skillet until well coated. Garnish with chopped parsley and serve warm.