Cook the fettuccine pasta according to package instructions.
While the pasta is cooking, heat olive oil in a large skillet over medium heat.
Season the chicken breasts with salt and pepper, then add to the skillet.
Cook chicken for about 6-7 minutes on each side, until cooked through.
Remove the chicken from the skillet and let it rest before slicing.
In the same skillet, add the minced garlic and cook until fragrant.
Pour in the heavy cream and bring to a gentle simmer.
Stir in the grated Parmesan cheese until fully melted.
Slice the rested chicken and add it to the sauce along with the drained pasta.
If the sauce is too thick, adjust with reserved pasta water.
Serve hot, garnished with freshly chopped parsley.