In a large skillet, heat 3 tablespoons butter and the olive oil over medium-high heat until the butter has melted. Working in batches to avoid crowding the pan, add the chicken and sauté until golden brown and cooked through, about 3 minutes per side.
Step 3
Remove the chicken, place on a plate and repeat with the remaining pieces, adding more olive oil if needed.
Step 4
Once the chicken is cooked, add the shallot and lemon slices to the pan and sauté, stirring occasionally, until lightly caramelized and fragrant, 2 to 3 minutes. Add the stock and simmer until reduced by half, about 3 minutes.
Step 5
Reduce the heat to low, then stir in the remaining 3 tablespoons butter, capers and lemon juice, to taste. Season with salt and pepper to taste. Serve the chicken with the sauce poured over the top. Garnish with parsley if desired.
TIP
Freezing the chicken breasts for 15 minutes will make slicing them through the middle easier.