In a mixing bowl, toss the shallots with the cornstarch to evenly coat them with a thin layer.
In a 2-qt/1.92-L saucepan, heat the oil to about 200°F/93°C. Place the shallots into the warm oil and increase the heat to high until the oil is at 325°F/163°C. Maintain 325°F/163°C until the shallots are golden brown and crispy throughout.