Sprinkle each chicken breast with salt and pepper on both sides and set aside.
In a small bowl, mix together flour and Italian seasoning.
Dredge each chicken breast on both sides in flour mixture.
In a non stick skillet over medium high heat add olive oil and 1 tablespoon butter.
Add chicken and brown on each side.
Remove chicken from pan and place in your slow cooker.
Add the remaining butter to the pan, sauté garlic for just 30 seconds. Pour stock, lemon juice, lemon zest and heavy cream scrapping the bottom of the pan and cook for a minute or two.
Pour the cream sauce over, cover and cook on high for 2 hours or on low for 3-4 hours.
Garnish with parmesan cheese and serve.