Heat the pre-cooked chicken in the microwave for 1-2 minutes. Meanwhile, using a serrated peeler or other spiralizer tool, begin peeling the zucchini into noodle strands, stopping at the seeds.
Cut the cherry tomatoes in half and set aside with the zucchini. Once the chicken has been heated, place on a cutting board to dice. Move the zucchini noodles and tomatoes into a microwave safe bowl. Add the pesto. Microwave for 4 minutes.
Add in the chicken cubes and toss it all together. Serve immediately.