Mix together the butter, lemon rind, garlic and basil and season to taste. Use a sharp knife to make a small horizontal slit in the side of each chicken breast to form a little pocket, making sure you don't cut all the way through the meat. Tuck some of the butter inside each breast, then smooth over to seal.
Rub 1 tablespoon oil over each chicken breast and season well. Put the breadcrumbs on a plate and dip each breast in the crumbs until well coated.
Transfer the chicken to a lightly greased baking tin, sprinkle over the Parmesan, drizzle with the remaining oil and cook in a preheated oven, 200°C (400°F), Gas Mark 6, for 15 minutes or until golden and cooked through. Serve with new potatoes and green beans.