Peel the carrots and cut them diagonally into thin slices. Peel and halve the potatoes. Mix in a bowl with 2 tablespoons of oil and season with salt. Place on a baking tray lined with baking paper. Bake in the hot oven at 220 ° (fan oven 200 °) on the middle rack for 25 minutes.
In the meantime, brush the chicken breast fillets all around with 1/2 teaspoon of honey and season with salt. Fry in a pan with 2 tablespoons of oil on each side for 1 minute until light brown.
In the last 10 minutes of baking time, add the meat to the potatoes on the tray and finish cooking.
Braise the carrots in a saucepan with 1 tablespoon of oil. Season with salt and a little sugar. Add 50 ml of water and cooking cream, bring to the boil and cook over a mild heat for 3 minutes. Add the peas and cook for 3 minutes. Season to taste with salt, pepper and a little lemon juice. Pluck the leaves from the notch and chop finely. Mix into the sauce just before serving.