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Whisk together sauce ingredients (except water and cornstarch) in a small saucepan. Bring to a boil over high heat, then reduce heat to a simmer.
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In a small bowl, whisk together water and cornstarch. Pour into the pan and cook on low, whisking often, until the sauce thickens, 3-5 minutes. Remove from heat and set aside.
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Preheat the oven to 400F.
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Pour 3 Tbsp of the sauce into a small bowl. Brush the salmon filets with reserved sauce and place on a baking sheet. Bake for 15 minutes, or until salmon is flaky. Discard the small bowl of sauce if any remains.
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Cook the stir fry noodles according to the package directions. Drain, rinse, and set aside.
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Heat a large skillet over medium heat. Add the sesame oil.
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Add mushrooms, snap peas, and broccoli. Cook, stirring often, until veggies are tender-crisp, 7-8 minutes.
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Add the noodles and the remaining sauce from the pan. Toss to combine.
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To serve, divide noodles, veggies, and salmon between plates. Garnish with sesame seeds and green onions.