Mix together ingredients in a bowl until emulsified.
Salad
Mix together ingredients in a large bowl.
Chicken
Preheat oven to 400 F.
Heat a medium skillet over medium high heat with olive oil. Season the chicken with salt and pepper and place presentation side down onto the pan. Cook for about 5 minutes, until nicely golden brown, and then transfer to the oven for about 8-9 minutes, or until the chicken registers 165 F.
Remove the chicken and allow to rest for 5 minutes, then slice into pieces.
Assembly
Dress the salad with the vinaigrette and divide between two plates. Top with the chicken breasts and additional parmesan if desired.