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Season the fish lightly with salt and pepper. In a large nonstick fry pan over medium heat, melt the butter with the olive oil. Do no allow butter to brown. Arrange the fish in the pan and cook, turning once, until browned on both sides. The fish should no longer have a pink tint to it, test with a fork approximately 6 to 8 minutes depending on the thickness of the fillet. Remove fish and set aside.
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Add the onion cook for about 1 minute and the add in the garlic to the pan and cook, stirring often, until fragrant, about 1 minute. Add the lemon juice, increase the heat to medium-high. Allow the sauce thickens slightly. Stir in the cilantro, capers and lemon zest, and season with salt and pepper.
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Add the fish to the pan and allow fish to reheat. Serve immediately.