Cut the chicken breast into equal pieces, about ½ pound each. Place the chicken between plastic wrap and pound them down so that they are equal sizes. Place the chicken in the bottom of the slow cooker.

In a small bowl, combine the tomatoes, basil, and olive oil. Pour the tomato mixture over the chicken breasts.

Cover the slow cooker and cook on low for 6 hours or high for 4 hours.

When serving, put a chicken breast on a plate, cover it in the cooked tomatoes and sprinkle balsamic vinegar over the tomatoes. Salt and pepper as desired.