Season the chicken on both sides with salt and pepper. Working one at a time dredge them with the flour, shaking off the excess.
Heat a large frying pan over medium heat and coat the bottom with olive oil. Cook the cutlets in batches for 3 - 4 minutes on each side or until cooked through. Remove to a plate and cover with foil.
Turn the heat down to low and add another tablespoon or two of olive oil. Cook the garlic with a dash of salt 2 - 3 minutes stirring often until fragrant.
Stir in the chicken broth and white wine, if using. Turn the heat up and bring to a simmer, simmer slowly for 7 - 8 minutes, stirring occasionally.
Remove from the heat and stir in the lemon juice. Season to taste with salt & pepper. Put a lid on the pan to keep it warm.
Meanwhile, cook the spaghetti to al dente according to package directions. Drain and reserve ⅓ cup of the pasta water.
Add the spaghetti to the sauce along with the Parmesan cheese and toss well, add a little of the pasta water if needed to help it coat the spaghetti.
Thinly slice the chicken on the bias and place on top of the spaghetti.
Sprinkle the feta and parsley on top to serve.