In a saucepan, combine the sugar, cinnamon stick, cardamom pods, orange zest, orange juice and water. Place over medium-high heat and stir, until the sugar dissolves.
Reduce the heat to a very low and simmer and cook until tender, 1 - 1½ hours.
Let the quinces cool in the syrup.
Lift the quinces from the syrup and place into a serving dish.
Strain the syrup over the quinces and discard the cinnamon stick and cardamom pods.
I make up the syrup before preparing the fruit. Quinces brown very quickly when peeled, so you can either place the prepared fruit into a bowl of water with some lemon juice added, or do as I do and have the syrup barely simmering and add the fruit directly into the pot.
You can use these quinces to top my orange syrup cake. You could add a tsp of cardamom powder to the cake batter when making the cake.