01 - Bring a large pot of salted water to a boil and cook the fettuccine according to package directions until al dente. Reserve 1/2 cup of pasta water, drain, and set aside.
02 - Season chicken strips evenly with salt and black pepper.
03 - Heat olive oil in a large skillet over medium-high heat. Add chicken and sauté for 5 to 7 minutes, turning occasionally, until golden brown and cooked through. Remove from skillet and set aside.
04 - In the same skillet, melt butter over medium heat. Add minced garlic and cook for about 1 minute until fragrant, taking care not to brown it.
05 - Pour in heavy cream and bring to a gentle simmer. Gradually whisk in Parmesan cheese until fully melted and the sauce is smooth. Stir in nutmeg if using.
06 - Adjust seasoning of the cream sauce with salt and black pepper to taste.
07 - Return the cooked chicken strips to the skillet and toss to coat with the sauce evenly.
08 - Add the drained fettuccine to the skillet. Toss well to combine, adding reserved pasta water gradually if the sauce requires thinning.
09 - Serve immediately, garnished with chopped fresh parsley and additional grated Parmesan cheese.