Roasted Citrus-Herb Game Hen

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2 (1 1/2 to 2-pound) Cornish game hens

1/4 cup olive oil

2 shallots, minced

2 tablespoons orange zest, from 2 medium oranges

2 tablespoons lemon zest, from about 3 lemons

2 tablespoons chopped fresh thyme leaves

3 tablespoons chopped fresh mint leaves

1 teaspoon kosher salt, plus extra for seasoning

1 teaspoon freshly ground black pepper, plus extra for seasoning

2 cups low-sodium chicken stock

2 tablespoons Marsala wine or dry sherry

2 tablespoons fresh lemon juice

2 tablespoons fresh orange juice

1/4 cup dried cranberries or currants

2 teaspoons all-purpose flour

2 tablespoons unsalted butter, at room temperature