Combine the flour, salt, paprika, black pepper, and cayenne in a large plastic or paper bag. Shake to mix.
Heat about 2 inches of lard until it registers 360 degrees F on a deep-fry thermometer in a large, heavy pot.
Put four chicken pieces in the bag and shake well. Add the chicken to the hot fat and deep-fry until golden brown and cooked through, 12 to 15 minutes.
Drain the chicken on paper towels. Repeat the process with the remaining chicken. Serve
hot or warm.