Prep the zucchini noodles. Spiralize the zucchini and place the noodles on paper towels. Lightly salt and let sit for 10 minutes to draw out moisture, then gently blot dry.
This helps keep them crisp.
Season the chicken. Pat chicken dry and season both sides with salt, pepper, and a pinch of red pepper flakes if you like.
Sear the chicken. Heat 1 tablespoon olive oil in a large skillet over medium-high. Add the chicken and cook 3–4 minutes per side until golden and cooked through. Transfer to a plate and tent with foil.
Slice or cube once slightly cooled.
Build the sauce base. Reduce heat to medium. Add remaining olive oil and butter to the same pan. Stir in garlic and cook 30–60 seconds until fragrant; don’t brown it.
Add cream. Pour in the cream, scraping up browned bits.
Bring to a gentle simmer for 2–3 minutes to slightly thicken.
Stir in Parmesan. Lower heat and add Parmesan in small handfuls, stirring until melted and smooth. If too thick, splash in a bit of milk or water. If too thin, simmer another minute.
Season the sauce. Add nutmeg, salt, pepper, and lemon juice if using.
Taste and adjust. The sauce should be well-seasoned and silky.
Warm the chicken. Return sliced chicken to the pan and coat with sauce. Heat for 1–2 minutes.
Add zucchini noodles. Add zoodles and toss gently to coat.
Cook just 1–2 minutes until warmed and slightly softened. Keep them a bit firm for the best texture.
Serve. Plate immediately. Top with more Parmesan, a sprinkle of parsley, and a twist of black pepper.
Serve hot.