Thank you for the question! In short, the answer is yes. Frozen carrots can be as healthy as fresh carrots.
Frozen vegetables -- without additives like a sauce, salt, or seasoning -- can be just as healthy as fresh vegetables. Frozen vegetables and fruits are frozen quickly after they have been harvested, this helps to preserve vitamins and minerals in the food. If fresh fruits and vegetables have been stored for a long time, they can begin to lose nutrients. In this case, frozen fruits and vegetables could have more nutrients than fresh!