Preheat the oven to 400 degrees F
Combine he dried apples, orange juice and cinnamon stick in a 3-quart sauce pan. Bring the mixture to a boil and then reduce to o a simmer. Cook until the orange juice educes to thick syrup, about 30 minutes. There should just be a little syrup coating the bottom of the pan. Remove from heat and cool to room temperature.
Line a half sheet pan and line with parchment paper.
While the dried apples cook, peel the apples and cut into a small dice. You should have 4 cups of chopped apples. Combine sugar, salt, cinnamon, cardamom, orange zest and whisk to combine. Add the apples and toss to coat the apples. Spread the apples into a single layer. Cut the butter into about 8 pieces and dot the apples. Bake for 20 minutes and stir the apples. Stir the apples every 10 minutes until the sugar mixture has turned syrup, about 40 minutes.
Scrape the apples into a large bowl, add the cooked dried apples and stir to combine. Cool the picture until room temperature. The mixture can also be made ahead of time and stored in the refrigerator for 1 week.