Cut the raw potatoes into 2 cm cubes and season the chicken with salt and pepper.
Heat the oil in a small frying pan and brown the seasoned chicken about 3 minutes each side, until golden and crispy. Remove from the pan and add the chorizo. Cook for several minutes until crispy.
Lower the heat and add the onions to the pan, cooking for about 10 minutes until soft. Add the peppers, garlic and Cajun seasoning and cook for another 5 minutes.
Then, add the potatoes, tomatoes, chicken and stock and bring to the boil. Reduce heat and simmer for 20 minutes, checking that the chicken is cooked through. Season to taste before serving.