Heat oven to 425°F. Coat carrot batons with half the oil; roast 10 minutes on a sheet pan.
Rub the pork with remaining oil and add to the tray. Roast until pork reaches 145°F, checking after 12 minutes. Continue roasting the carrots as needed until tender.
Rest the pork at least 3 minutes before slicing across the grain. Serve with the carrots.
Approximate nutrition per serving, calculated from ingredient weights using USDA FoodData Central and comparable ingredients. Brands, optional toppings and substitutions can change the result.