Mix 1 teaspoon dill, butter, lemon juice, shallot, garlic, and wine. Boil for 10 minutes over low heat.
Season the Chilean sea bass fillet with salt and ground black pepper.
Heat olive oil in a pan and fry the Chilean sea bass until golden brown.
After frying, put it on a plate then pour the sauce on the Chilean sea bass and sprinkle it with dill.
Serve hot and enjoy!