Make the pineapple cilantro slaw: Mix together the cabbage, cilantro, red onion, pineapple, carrot, vinegar, and sugar in a bowl. Add salt and pepper to taste and allow the mixture to marinate 3 hours in the refrigerator.
Heat a grill to medium-high heat. Cook the chicken until fully cooked, about 5 minutes per side. Dice the meat and divide it among the buns. Top the sliders with the pineapple cilantro slaw or serve it as a side.