Heat a large disco (disc shaped pan) or a wide, heavy bottomed skillet over medium heat. Add olive oil and allow it to heat. Season the chicken pieces generously with salt, pepper, and smoked paprika, ensuring the spices coat the chicken evenly for a flavourful crust. Brown the chicken on all sides for 6–8 minutes, then remove it and set aside.
In the same pan, add the sliced onions, red and green bell peppers, and garlic. Sauté for 5 minutes until the vegetables soften and release their aroma. Stir occasionally to prevent sticking. Add a pinch of salt to draw out moisture and intensify the flavours.
Introduce the diced tomatoes to the pan, stirring to combine with the sautéed vegetables. Allow the mixture to simmer for 5 minutes until the tomatoes break down into a sauce. Season with oregano and chili flakes (if using), adjusting to your desired spice level.
Return the browned chicken to the pan, nestling the pieces into the vegetable mixture. Pour in the white wine and simmer for 3–4 minutes to reduce the liquid slightly. This step infuses the dish with a deep, aromatic base.
Layer the potato and carrot slices over the chicken, ensuring even coverage. Pour the chicken stock over the ingredients, making sure the liquid reaches halfway up the layers. Cover the pan with a lid or aluminium foil and reduce the heat to low.
Simmer the stew for 25–30 minutes, allowing the chicken and vegetables to cook through and the flavours to meld. Stir gently halfway through to prevent sticking and ensure even cooking. Add the green peas in the final 5 minutes of cooking.
Check the chicken and vegetables for doneness. The chicken should be tender and juicy, while the potatoes and carrots should be fork tender. Adjust the seasoning with additional salt and pepper, if needed. Remove the pan from the heat and let it rest, covered, for 5 minutes.
Serve the Pollo al Disco directly from the pan for an authentic rustic presentation. Garnish generously with fresh parsley for a vibrant finish. Pair with crusty bread to soak up the flavourful sauce or a simple side salad for a refreshing contrast. For a traditional Argentine experience, enjoy with a glass of Malbec wine.