Preheat the oven to 200°C/180°C for fan ovens.
Cut each potato into four to six even-sized pieces. Cover with cold water in a saucepan and bring to the boil. Boil for 10 minutes then drain and cool slightly.
Toss the potatoes in a little olive oil, season with salt and pepper put into a baking dish approximately 30cm x 25cm along with the chorizo pieces and bake in the oven for 10 minutes
Add the trimmed broccoli, garlic and kale, mix together and bake for a further 10 minutes.
Crack the eggs on top and return to the oven for six to seven minutes until the whites are set but the yolks are still runny
Garnish with the chopped parsley and serve immediately.