In a large pot of salted boiling water, cook the fettuccine according to package instructions until al dente. Drain and set aside, reserving about ½ cup of the pasta water.
Season the sliced chicken breasts with salt and pepper.
In a large skillet over medium-high heat, heat the olive oil. Add the seasoned chicken and cook for about 5-7 minutes, or until fully cooked and golden brown. Remove the chicken from the skillet and set aside.
In the same skillet, add the sliced mushrooms and sauté for 3-4 minutes until they are softened. Add the minced garlic and cook for an additional minute, stirring constantly.
Pour in the chicken broth, scraping up any browned bits from the bottom of the skillet. Stir in the heavy cream, soy sauce, thyme, and Italian herbs. Bring to a gentle simmer and let it cook for about 5 minutes until the sauce thickens slightly.
Add the cooked chicken back to the skillet along with the drained pasta. If the sauce is too thick, gradually add reserved pasta water until desired consistency is reached. Stir gently to combine and allow everything to warm.
Remove from heat. Serve the pasta in bowls topped with chopped fresh parsley and a generous sprinkle of grated Parmesan cheese.