Season both sides of the chicken cutlets with a pinch of salt and pepper, then dredge them evenly in 2 tablespoons of flour.
Heat vegetable oil in a large skillet over medium-high heat and place the chicken cutlets carefully in the pan without overlapping.
Cook the cutlets until lightly browned on one side, then flip and brown the other side thoroughly.
Once the chicken is cooked through to 165℉ internal temperature, take it out of the pan to prevent overcooking.
Turn heat down to medium, add the butter and smashed garlic to the skillet, cooking until the garlic is aromatic.
Stir in 2 tablespoons of flour, then pour in the half and half and chicken broth, stirring constantly to blend and bring the sauce to a gentle boil.
When the sauce thickens, fold in the fresh spinach until it wilts nicely into the creamy mixture.
Return the cooked chicken cutlets to the skillet, coating each piece with the sauce quickly before removing from heat.
Serve immediately and enjoy a creamy, flavorful dinner.