In a deep dish with a lid, heat 1 tbsp olive oil. Season the chicken and add to the pan and cook for 2 - 3 mins each side until browned. Transfer to a plate.
Add a little more oil and add the sliced potatoes and fry for 5 mins, then ad the wine and cook until it's reduced by half. Now, pour the chicken stock in and bring it a simmer.Place the chicken back in (the stock should cover them), place the lid on and simmer for 5 mins.
Prep the asparagus (snap off the woody parts, keeping the softer tips). Stir in the asparagus tips and peas into the broth, cover and simmer for approx. 3 - 4 mins or until the chicken is cooked through.
Season the broth with plenty of black pepper, and finish with the zest of the lemon and a squeeze of juice.