Begin by spiralizing the zucchini into zoodles using a spiralizer or julienne peeler. Set aside on a paper towel to absorb excess moisture.
In a large skillet, heat the olive oil over medium heat.
Add the minced garlic and sauté for about 1 minute, or until fragrant. Be careful not to burn the garlic.
Pour in the heavy cream and bring to a gentle simmer. Stir occasionally until the cream thickens slightly, about 3-4 minutes.
Gradually stir in the grated Parmesan cheese, mixing until it is completely melted and the sauce is creamy.
Season with salt, black pepper, and red pepper flakes (if using) to taste.
Add the zoodles to the sauce and toss until well coated, cooking for an additional 2-3 minutes until the zoodles are just tender but still have a slight crunch.
Remove from heat and serve immediately, garnished with fresh parsley.