Preheat oven to 350 F.Oil a baking dish with the olive oil, set aside.
In a small bowl, combine together the cardamom, minced garlic cloves, salt, freshly ground pepper, ground nutmeg, ground cinnamon, orange zest, orange juice and the orange-blossom water. Stir together till evenly combined and a paste is formed.
Put the marinade in a resealable plastic bag and add the chicken breasts one by one and shake making sure the marinade completely covers each breast.
Put each chicken breast in the oiled baking dish and bake for 45-50 minutes.Serve with basmati rice.