Begin by preparing the chicken breast. If it's thick, you might want to slice it in half horizontally to make it thinner and quicker to cook. Season both sides with salt and pepper to taste.

In a bowl, chop the mixed bell peppers into bite-sized pieces. Slice the zucchini into half-moons or rounds, about 1/4 inch thick. Add the chopped vegetables to a mixing bowl and drizzle with olive oil, tossing to coat evenly. Season with salt and pepper to taste.

Preheat your grill or grill pan over medium-high heat. If using a grill, preheat for about 5-10 minutes until hot.

Once the grill is hot, place the chicken breasts on it. Grill for about 6-7 minutes on each side, or until the chicken is cooked through and has nice grill marks. The internal temperature should reach 75°C (165°F).

While the chicken is grilling, you can also cook the vegetables. If using a grill, put the seasoned vegetables in a grill basket or on skewers. Grill the vegetables for about 5-7 minutes, tossing occasionally until they're tender and have grill marks.

Once the chicken and vegetables are cooked, remove them from the grill. Let the chicken rest for a few minutes before slicing it into strips.

Serve the grilled chicken on a plate, topped with the grilled vegetables. Enjoy your delicious Grilled Chicken with Vegetables!