Heat a large skillet over medium heat and cook chorizo, breaking it up, until fully cooked.
Add the potatoes to the skillet and cook 3-5 minutes until lightly browned. Remove chorizo/potato mix and set aside.
In the same pan, heat oil over medium heat. Add zucchini and favorite seasonings. Cook 3-5 minutes until tender but not mushy.
Fill tortillas with the chorizo & potato mixture, top with cheese. Serve the zucchini on the side.