Preheat the oven to 350 degrees F. Grease an 8x8 baking dish with coconut oil.
Add the berries to a medium mixing bowl and sprinkle them with sugar.Gently fold to coat the berries and let them sit in the sugar while you prepare the oat mixture.
In another medium mixing bowl, combine the flour, oats, brown sugar, butter, cinnamon, nutmeg, ginger and lemon peel. The mixture will be crumbly.
Pour the berries into the prepared dish, scraping any additional sugar on top of the mixture. Spread the oat mixture evenly on top of the berries then bake the crisp for 35-40 minutes until its lightly browned and the berries are bubbling and soft. Set the crisp on a cooling rack and serve warm.