In a glass bowl, whisk together the soy sauce, rice wine and 1 teaspoon sesame oil. Add the chicken and let rest at room temperature for 15 minutes (up to 1 hour is fine).

Meanwhile, prepare a large bowl of ice water.

Set a large saucepan of water over high heat and bring to a boil. Season well with kosher salt. Add the broccoli and cook until just tender crisp and bright green, 45 seconds to 1 minute. Drain and immediately plunge the broccoli into the ice water to stop it from cooking further.

Place a large nonstick skillet or wok over medium-high heat. Add 1 teaspoon of the canola oil and half of the chicken, draining off the marinade first. Cook, stirring occasionally, until the chicken is cooked through. Transfer to a boil. Repeat with another 1 teaspoon of canola oil and the remaining chicken. Discard the marinade.

Heat the remaining 1 teaspoon sesame oil and 1 teaspoon canola oil in the skillet or wok, then add the white sections of green onions, ginger and garlic. Cook, stirring constantly, for 30 seconds.

Add the broccoli and stir fry sauce and cook, stirring constantly, until the sauce thickens slightly, 1 to 2 minutes.

Add the chicken and any accumulated juices and cook for 30 seconds. Stir in the green sections of green onion.

Serve over brown rice or cauliflower rice.