Bring a large pot of salted water to a boil and cook the fettuccine according to package instructions until al dente.
While the pasta cooks, heat olive oil in a large skillet over medium heat.
Season the chicken breasts with salt and pepper, then add to the skillet.
Cook the chicken for about 6-7 minutes on each side, or until fully cooked. Remove from the skillet and let rest.
Add minced garlic to the skillet and sauté for about 30 seconds until fragrant.
Pour in the heavy cream and bring to a gentle simmer.
Stir in the grated Parmesan cheese until melted and smooth.
Slice the cooked chicken and return it to the skillet, mixing well.
Add the drained fettuccine to the sauce and toss to coat.
Serve hot, garnished with fresh parsley.