Cook the fettuccine pasta according to the package instructions.
While the pasta cooks, season the chicken breasts with salt and pepper.
In a large skillet, heat olive oil over medium-high heat.
Add the chicken breasts and cook for about 6-7 minutes on each side until golden brown.
Remove the chicken from the skillet and let it rest for a few minutes.
In the same skillet, add minced garlic and sauté for 1 minute.
Pour in the heavy cream, stirring to combine, and bring to a simmer.
Add grated Parmesan cheese, stirring until the sauce is smooth.
Slice the cooked chicken and return it to the skillet with the sauce.
Toss the cooked pasta in the sauce until well coated, and serve immediately.