Heat 3 tablespoons of the oil in a large nonstick skillet over medium-high heat until rippling hot. Add enough chicken strips to cover the bottom of the pan. Fry until golden and cooked through, about 3 minutes on each side. Transfer the chicken to a paper towellined plate. After the first batch, discard the oil, wipe the pan clean with a paper towel and heat another 3 tablespoons of oil. Fry the remaining strips, using fresh oil for each batch.