Make the garlic butter. In a bowl, mash together softened butter, minced garlic, parsley, lemon zest, lemon juice, salt, and pepper. Taste and adjust with a pinch more salt or lemon if needed.
Shape and chill the butter. Spoon the butter onto a small sheet of parchment or plastic wrap.
Roll into a tight log about 1 inch thick. Chill in the freezer for 20–30 minutes until firm, but not rock hard.
Prep the chicken. Place a chicken breast between two sheets of plastic wrap. Gently pound to about 1/3 inch thickness, focusing on making it even.
Repeat with all breasts.
Season the chicken. Lightly season both sides with salt and pepper. This helps amplify the flavor of the butter and crisp coating.
Add the butter core. Slice the chilled butter log into 4 equal pieces. Place one piece in the center of each chicken breast.
Fold the sides over the butter, then roll up from the bottom, tucking in edges to fully enclose. Aim for a neat, tight package.
Set up your breading station. Put flour in one shallow dish. In a second dish, whisk eggs with milk or water.
In a third dish, combine breadcrumbs with paprika, garlic powder, onion powder, salt, and pepper.
Double bread for a secure seal. Dredge each rolled chicken in flour, shaking off excess. Dip in egg, then coat in breadcrumbs, pressing to adhere. For extra insurance, dip again in egg and then a second layer of breadcrumbs.
Place seam-side down on a plate.
Chill the breaded chicken. Refrigerate for at least 30 minutes (or up to 12 hours). This helps the coating stick and reduces butter leaks.
Preheat your oven. Heat to 375°F (190°C). Place a wire rack over a baking sheet to keep the bottom crisp.
Shallow-fry for color. In a large skillet, heat about 1/4 inch of oil over medium to medium-high.
Add a tablespoon of butter for flavor if you like. Fry chicken 2–3 minutes per side until golden. Don’t cook through; just build color.
Finish in the oven. Transfer chicken to the wire rack, seam-side down.
Bake 12–18 minutes, depending on thickness, until an instant-read thermometer in the center reads 165°F (74°C).
Rest and serve. Let rest 5 minutes to settle the juices. Serve with lemon wedges, herbs, and your favorite sides. Cut gently to reveal that molten garlic butter.