Combine preserves, mustard, parsley, mint, and vinegar, stirring with a whisk. Sprinkle hens with salt and pepper. Place 1/4 cup apricot mixture in a large zip-top plastic bag. Add hens; seal and marinate in refrigerator 1 hour, turning bag occasionally.
Prepare grill to medium-high heat.
Remove hens from bag; discard marinade. Place hens on grill rack coated with cooking spray; grill 12 minutes or until thermometer registers 180°, turning hens occasionally and basting frequently with apricot mixture.