Rinse cut potatoes in a large bowl with lots of cold running water until water becomes clear. Cover with water by 1 inch and cover with ice. Refrigerate at least 30 minutes and up to 1 day.

In a deep fryer, heat oil to 325 degrees. Be sure not to fill oil beyond maximum fill line.

Drain ice water from cut fries and wrap potato pieces in a clean dishcloth or tea towel and thoroughly pat dry. Add fries, a handful at a time, to hot oil. Fry, stirring occasionally, until potatoes are soft and limp and begin to turn a blond color, about 6 to 8 minutes. Use basket to carefully remove fries from oil and set aside to drain on paper towels. Let rest for at least 10 minutes or up to 2 hours.

When ready to serve French fries, reheat oil to 350 degrees. Transfer blanched potatoes to hot oil and fry again, stirring frequently, until golden brown and puffed, about 3 to 4 minutes. Transfer to paper-lined platter and sprinkle with salt and pepper to taste. Serve immediately.