Preheat oven to 350ᵒF (180ᵒC). Line baking sheet with parchment paper.
In mixing bowl, beat together canola oil, sugar, egg, and vanilla.
In separate bowl, toss together flour, oats, flaxseed, walnuts, cinnamon, and baking soda.
Add dry ingredients and carrots to the wet ingredients and stir well by hand to combine.
Scoop tablespoon-sized (15 mL) portions and place on cookie sheet, about 2 inches (5 cm) apart. Bake for 13-15 minutes.