Place the chicken breasts between sheets of plastic wrap and pound them to an even thickness. This helps them cook evenly and stay tender.
Heat the olive oil or butter in a large skillet over medium heat until shimmering.
Place the flour in one shallow bowl, the beaten eggs in another, and the panko breadcrumbs in a third.
Dredge each chicken breast in the flour, coating both sides evenly. Shake off any excess flour.
Dip each piece into the beaten eggs until completely coated.
Press the chicken into the breadcrumbs, making sure every surface is covered with an even layer.
Carefully place the breaded chicken into the hot skillet. Cook for 6 to 8 minutes per side, or until golden brown and the internal temperature reaches 165°F (74°C).
Transfer the cooked chicken to a paper towel-lined plate to remove any excess oil.
In a small bowl, whisk together the mayonnaise, Dijon mustard, honey, lemon juice, and Worcestershire sauce until smooth and creamy.
Top each cooked chicken breast with one slice of turkey ham and one slice of Swiss cheese. Cover the skillet briefly or place the chicken under a broiler for 1 to 2 minutes until the cheese melts.
Drizzle the creamy mustard sauce generously over each serving of this Malibu Chicken Recipe just before serving.
Serve immediately with mashed potatoes, roasted vegetables, steamed rice, or a crisp green salad for a complete meal.