Remove the orange peels carefully, avoiding the pith, then cut the peels into 1/4-inch-wide strips.
Add the peels and 1 cup cold water to a pan, bring to a boil and cook for 7 minutes. Drain and set aside.
Add 1 cup sugar and 1 cup water to a pan. Heat, stirring, until the sugar is dissolved and the syrup is boiling. Add the peels, reduce to a simmer and cook, swirling the pan from time to time, for 20 minutes. Drain and set the peels aside to cool on a rack for 10 minutes.
Add the remaining 1 cup sugar to a baking sheet. Add the peels and roll in the sugar to coat. Place on a baking sheet lined with parchment paper to set, about 30 minutes.