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put a rimmed baking sheet in the upper third of the oven and preheat to 475 degrees f.
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combine the potatoes, 2 tablespoons olive oil and 1/2 teaspoon italian seasoning in a large bowl; season generously with salt and pepper.
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in a separate bowl, combine the beans, 1 tablespoon olive oil and the remaining 1/2 teaspoon herbs de provence; season generously with salt and pepper.
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remove the hot baking sheet from the oven; add the potatoes in a single layer on one side of the pan and the beans on the other side.
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roast until the potatoes are browned and the beans are tender, about 20 minutes.
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meanwhile, combine the tomatoes, olives, remaining 2 tablespoons olive oil, the lemon juice, 1/2 teaspoon salt and a pinch of pepper in a small bowl; set aside.
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season the fish all over with salt.
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remove the baking sheet from the oven.
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separately stir the potatoes and beans with a spatula and push to the sides of the pan, leaving a space in the middle.
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place the fish in the middle of the pan and top with the tomato mixture.
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roast until the fish is opaque, 10 to 12 minutes.
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sprinkle the potatoes with parsley.