Combine butter, goat cheese, parsley, dill, and garlic in food processor. Pulse until ingredients blend – it should be a creamy mixture. Set aside.
Pound the chicken breasts to flatten. Use a knife to slice into the side of each chicken breast, careful not to poke through. You want to create a pocket to spoon the herb goat cheese butter into.
Season chicken breasts with sea salt, black pepper, and garlic powder on both sides, about a teaspoon for each breast.
Using a spoon, fill each pocket with herb goat cheese butter and seal off the pocket. Use about half of the herb butter here.
Dust both sides of the chicken breast with flour of your choosing. Shake off any excess.
In a shallow bowl, place beaten eggs. In a separate shallow bowl, place panko breadcrumbs. Dip each breast into the egg mixture and let extra drip off, then cover with breadcrumbs on both sides. If the pocket is still slightly opened on the breast, slap some breadcrumbs on there.
Preheat air fryer to 400 and spray with non-stick oil spray, if needed. Place chicken breasts in air fryer and air fry for 18-20 minutes, flipping the chicken over halfway through cooking.
Top the chicken with remaining herb goat cheese butter and dive in.
Notes
If you don't have an air fryer, you can pan fry the chicken in oil.