In a mixing bowl combine 1/3-cup parmesan cheese, garlic powder, basil, thyme, lemon zest, salt, and pepper.
Drizzle a bit of olive oil over each chicken breast and rub the prepared seasoning all around the chicken. You can also put the seasoning in a shallow dish and dredge the chicken breasts in it.
Heat a large skillet over medium high heat; add oil and melt 1 tablespoon butter.
Once heated, add chicken and sear until golden, about 5 minutes. Flip and continue to cook for 5 more minutes, or until golden. Cooking time will depend on the thickness of the chicken breasts.
Remove chicken from skillet; set aside and keep covered.
Melt remaining butter in the skillet.
Add garlic; lower heat to medium and cook for 20 seconds.
Whisk in chicken broth; whisk in cream and remaining Parmesan cheese; season with more salt and pepper, if desired, and stir until combined.
Continue to cook for about 2 minutes, or until thicker.
Whisk in the lemon juice and cook for 1 more minute.
Return chicken back into the pan; let simmer in the sauce for about 2 to 3 minutes, or until heated through.
Remove from heat; garnish with lemon slices and parsley.