01 - Pat chicken breasts dry with paper towels. Season both sides generously with salt and pepper, pressing seasoning into the meat.
02 - Heat 1 tablespoon olive oil in a large skillet over medium-high heat until shimmering. Add chicken slices in a single layer. Cook undisturbed for 3-4 minutes per side until golden brown and cooked through. Transfer to a clean plate and rest.
03 - Return skillet to medium heat. Add remaining olive oil and butter. Once butter foams, add minced garlic and sauté for 30 seconds until fragrant, being careful not to burn.
04 - Pour heavy cream into the skillet, stirring to deglaze and scrape up any browned bits from the bottom. Bring to a gentle simmer. Reduce heat to low and gradually whisk in Parmesan cheese until melted and sauce thickens, about 2-3 minutes. Add crushed red pepper flakes if desired.
05 - Add spiralized zucchini noodles to the sauce. Use tongs to toss gently, coating noodles completely. Cook for 2-3 minutes until just tender but still retaining some crunch. Avoid overcooking to prevent soggy texture.
06 - Slice rested chicken breasts into strips. Return to skillet and toss to coat with sauce and heat through, about 1 minute. Divide among 4 plates. Garnish generously with fresh parsley and additional grated Parmesan. Serve immediately while hot.