Cut chicken breasts into bite sized chunks. Put in a bowl with with 1/3 cup of balsamic vinegar and 1/4 cup of olive oil and 6 crushed garlic cloves. Season with salt and pepper.
Allow the chicken to rest in the marinade while you heat a tablespoon of olive oil in a large frying pan over medium heat. Add the Brussel sprouts, 1 tablespoon of balsamic, salt and pepper and remaining garlic cloves to pan. Saute the mix for 8-10 minutes until the Brussels start to soften.
Add the chicken mixture and cook for an additional 8 minutes or until the chicken is cooked through. Flip half way through.
Just before removing from heat, add the Parmesan cheese and stir to combine.