Slice the chicken into two pieces, lengthwise. Season the chicken fillets generously on both sides, with salt and pepper.
Combine the flour and paprika in a shallow bowl. Place the eggs in a second bowl. Place the panko in a third bowl. Add a pinch of salt to each bowl, and stir or whisk to combine.
Dredge each chicken breast first in the flour, then in the eggs, and lastly in the panko, turning to coat all sides evenly. Shake off the excess over each bowl. Place the chicken on a baking sheet or plate.
Heat half of the oil in a large skillet over medium-high heat. When the oil is hot, gently place two chicken pieces in the skillet, and cook until golden and crisp, about 4 - 6 minutes per side. The internal temperature of the chicken will register 165°F when done.
Transfer the cooked schnitzel to a paper-towel-lined plate, and repeat with the remaining oil and chicken.