In a small bowl, mix the salt, black pepper, garlic powder, and paprika.
Pat the chicken breasts dry with paper towels. If the chicken breasts are very thick, slice them horizontally into thinner cutlets.
Season both sides of the chicken with the spice mixture.
Add the flour to a shallow plate. Lightly coat each piece of chicken in flour and shake off the excess.
Heat the olive oil and butter in a large skillet over medium-high heat.
Add the chicken and cook until golden on both sides and fully cooked through, about 4 to 5 minutes per side for thin cutlets. Cook thicker pieces 3 to 4 minutes longer if needed.
Transfer the chicken to a plate, leaving the butter and browned bits in the skillet.
Add the minced garlic to the same skillet and cook for about 30 seconds, just until fragrant.
Pour in the chicken broth and scrape the bottom of the skillet to loosen the browned bits. Simmer for 2 to 3 minutes.
Stir in the heavy cream and let the sauce simmer gently for a few minutes, until slightly thickened.
Reduce the heat to low and stir in Italian seasonin and the Parmesan cheese until the Alfredo sauce is smooth and creamy.
Return the chicken to the skillet and spoon the sauce over the top. Keep on low heat for about 3 minutes, until the chicken is warmed through and coated in sauce.
Finish with fresh parsley and lemon juice, if using. Serve warm with rice, mashed potatoes, vegetables, pasta, or crusty bread.