Preheat the oven to 350°F (180°C). Line a cookie sheet with parchment paper. Lightly oil the paper with coconut oil. Set aside.
Peel, trim the sweet potatoes and cut them into small 1-inch cubes.
Bring 1 liter of water to a boil in a large saucepan. Add the cubes of sweet potatoes, cover, reduce to medium heat, and cook for 10-15 minutes or until fork-tender.
Drain in a sieve over the sink and steam out at room temperature for 10 minutes.
Mash the cooked sweet potato cubes in a puree. It doesn't have to be super smooth, and measure 2/3 cup packing the puree in measuring cups.
In a food processor or mixing bowl, add sweet potato puree, quick oats, peanut butter, and two tablespoons of flour. Stir or blend on medium speed, scraping the sides of the bowl a few times until the dough comes together into a moist cookie dough ball.
The batter should be a bit sticky and thick to keep the dog treat soft and moist. If really too wet, add more quick oats.
Scoop one tablespoon of batter, lightly grease your hands with vegetable oil and roll into a ball. See note above for rolling and cut-out technique.
Place the dough ball onto the prepared baking sheet.
Flatten with your hands and repeat until there is no more dough left. Leave half a thumb of space between each cookie - they won't expand in the oven.
Bake for 8- 12 minutes or until golden brown on the sides and top. The treats should stay moist and soft in the center and not crispy.
Cool on a cooling rack for 10 minutes, then transfer them to a wire rack.