01 - Pat the fish fillets dry with paper towels. Season both sides generously with salt and black pepper.
02 - Arrange three shallow bowls: place flour in the first bowl, beat eggs with milk in the second bowl, and place breadcrumbs in the third bowl.
03 - Dredge each fillet in flour, shaking off excess. Dip into the egg mixture, allowing excess to drip off, then press firmly into breadcrumbs to coat evenly.
04 - In a large skillet, heat about 1/2 inch of vegetable oil over medium-high heat until shimmering but not smoking.
05 - Fry the fish fillets in batches for 3 to 4 minutes per side, until golden brown and cooked through. Transfer to a wire rack or paper towels to drain excess oil.
06 - Combine mayonnaise, Dijon mustard, pickles, capers, lemon juice, and parsley in a small bowl. Season with salt and pepper to taste. Mix well and refrigerate until serving.
07 - Serve the fried fish hot with chilled tartar sauce on the side. Lemon wedges make a nice garnish if desired.