Thinly slice the carrot, red pepper and onion. Cut the brussels sprouts into quarters and cut the broccoli into bite sized florets.
In a medium sized pot add hot water 3/4 full and a tablespoon of salt. Bring to a boil and add the broccoli and quartered brussels sprouts. Blanch them for 45 seconds - 1 minute or until bright green. Strain the vegetables and run cold water over them to stop the cooking process.
Preheat a frying pan on high heat. Remove the chicken breast from the marinade (set the marinade aside for later) and place it in the frying pan. If it does not make a searing sound then the pan is not hot enough. Sear one side of the chicken breast for about 1 minute or until golden brown then turn it over and sear the other side equally. Remove from heat and set the chicken aside to cool enough to touch by hand. Slice the chicken breast into thin slivers. Wipe out the frying pan with a paper towel until clean.
Reheat the frying pan we just used on high heat, then add a tablespoon of oil, allow the oil to heat up for 15 seconds then add the julienned vegetables. Saute the vegetables (for 2-3 minutes) making sure to stir them in order for them to cook evenly. Once the onions start to turn golden brown add the chicken slivers and the remainder of the chicken marinade.
Continue to cook these ingredients for a few more minutes until the chicken has fully cooked. Test a piece of chicken to see if it is cooked. Now finally add the broccoli and the brussels sprouts and continue to stir for another minute.
Remove from the heat and serve over a bed of rice or some noodles.