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Prepare the Venison
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Slice venison thinly against the grain. Lightly season with salt if desired and set aside.
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Make the Sauce
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In a bowl, whisk together broth, coconut aminos, sesame oil, rice vinegar, maple syrup, garlic, onion, and cornstarch until smooth. Set aside.
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Sear the Meat
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Heat oil in a cast iron skillet over medium-high heat.
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Add venison in a single layer and sear quickly (about 1–2 minutes per side) until just browned.
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Remove meat from skillet and set aside.
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Thicken the Sauce
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Reduce heat to medium. Pour sauce mixture into the skillet, scraping up any browned bits.
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Bring to a gentle boil and cook 2–3 minutes, stirring, until thickened.
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Add Broccoli
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Stir in thawed broccoli and cook 2–3 minutes until heated through and coated in sauce.
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Return the Meat
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Add venison back to the skillet and toss gently until just warmed through.
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Serve
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Spoon over warm white rice and serve immediately.