Preheat grill to medium-high. In a small bowl, mix garlic powder, ginger, paprika, salt and freshly ground pepper to taste. Season chicken with spice mixture.
Combine peaches and next 5 ingredients in a large bowl.
Grill chicken breasts until internal temperature reaches at least 155 degrees Fahrenheit, about 4 minutes per side. Spoon salsa over each serving of chicken and enjoy!