On the stove top over medium heat in a large pot, submerged the chicken breasts in the chicken broth and slow simmer for about 35 minutes.
Meanwhile, prepare the barbecue sauce. In a small saucepan over low heat, simmer the Coke Zero, ketchup, vinegar, brown sugar, Worchestershire sauce, onion and garlic powders and black pepper until the sauce thickens.
Remove the chicken from the pot and pull the chicken from the bone and shred it with two forks or transfer it to the bowl of a stand mixer using a standard paddle on low speed. The chicken will shred easily.
Return the shredded chicken to the pot and add 1 cup of the barbecue sauce. Add more sauce to your pleasing. Transfer the remaining sauce to a bowl to serve.
Arrange the RITZ® Crackers on a platter and top with the sweet and saucy shredded chicken. Sprinkle each cracker with shredded cheddar cheese and scallions and drizzle with a spoonful of the Coke Zero barbecue sauce.