boneless, skinless chicken breasts (about 1 1/2 lb. total), halved horizontally, or 6 chicken cutlets
Kosher salt
Freshly ground black pepper
all-purpose flour
(1/2 stick) unsalted butter
extra-virgin olive oil
cloves garlic, finely chopped
dry white wine, such as Sauvignon Blanc
low-sodium chicken broth
heavy cream
drained capers
medium lemons, 1 zested and juiced, 1 juiced, 1 sliced into rounds
(17-oz.) package gnocchi
Chopped fresh parsley leaves, for serving