Heat oil in a nonstick frying pan over medium-high heat. Add carrots and cook, stirring frequently, 4 minutes. Stir in ginger and sugar and cook, stirring, until sugar melts, about 2 minutes. Add pecans and cook until carrots are tender when pierced and mixture is glazed in sugar, 3 to 5 minutes.
Note: Nutritional analysis is per 1/2-cup serving.