Remove the outer leaves from the cabbage head. Wash the head, core it, and cut it into 1/8-inch-thick slices. Place in a large mixing bowl.
In a small mixing bowl, thoroughly combine the hot-pepper-jelly sauce with the vinegar, sugar, parsley, kosher salt and pepper. Add the mixture to the bowl of cabbage, along with the carrots, onions and green onions, mixing well.