Prepare the chicken. Pat the chicken breasts dry and season both sides with salt and black pepper. Prepare the mushrooms, garlic, thyme and Parmesan.
Sear until golden. Heat the olive oil in a large, heavy-based frying pan over a medium-high heat. Sear the chicken in two batches for approximately 3–4 minutes on each side, until golden. It does not need to be fully cooked at this stage. Transfer to a clean plate.
Brown the mushrooms. Add the sliced chestnut mushrooms to the same pan and cook for 6–8 minutes over a medium-high heat. Avoid crowding the pan and allow the mushrooms to develop deeply browned edges. Reserve approximately 2 tablespoons for finishing.
Add the aromatics. Reduce the heat and add the butter, chopped garlic and thyme leaves. Stir for 30–60 seconds until fragrant, without allowing the garlic to burn.
Deglaze with white wine and Dijon. Pour in the 75ml white wine and add the Dijon mustard. Scrape the bottom of the pan to release the caramelised cooking juices. Allow the wine to simmer briefly and reduce slightly.
Build the sauce. Add the 120ml chicken stock and simmer for 1–2 minutes. Reduce the heat to medium-low, pour in the double cream and stir until combined.
Finish cooking the chicken. Return the chicken breasts and their resting juices to the sauce. Simmer gently, turning once, until the chicken reaches a safe internal temperature of 75°C in the thickest part.
Add Parmesan and lemon. Remove the pan from the heat and stir through the finely grated Parmesan and lemon juice. Taste and adjust the seasoning. Add a splash of additional chicken stock if the sauce needs loosening.
Prepare the optional king oyster mushrooms. In a separate frying pan, cook the halved king oyster mushrooms in garlic butter until golden on their cut sides and tender. This is an optional finishing element, and no exact cooking time or garlic butter quantity was recorded.
Plate and finish. Arrange the chicken and creamy chestnut mushrooms in a warm, shallow serving dish. Spoon the sauce around the chicken, keeping some of the golden surface visible. Scatter over the reserved chestnut mushrooms, chopped parsley, chives and fresh thyme. If using, arrange the garlic butter king oyster mushrooms on top.