Combine the pineapple juice, soy sauce, Worcestershire sauce, ginger, and corn starch. Mix this well in a small dish.
Place chicken in Ziploc bag, then pour the sauce over the chicken and seal the bag. Lay the chicken flat in the fridge for several hours to marinate. Be sure to have the chicken in a dish in case the bag leaks.
Once the chicken is marinated, pull each piece of chicken out and grill both sides on medium heat until well done with an internal temperature of at least 165*.
Grill each piece of sliced pineapple on each side for a few minutes and serve alongside the chicken.