Preheat a wok or large skillet over medium-high heat until hot.
Add the sliced ginger and chopped garlic to the hot wok and stir constantly until fragrant, about 30 seconds.
Add the carrots (peeled, halved and quartered), broccoli florets, and the thinly sliced fennel. Stir-fry, tossing frequently, for 2–3 minutes, until they begin to soften but remain crisp.
Add the zucchini (halved and quartered), the ½ red bell pepper (cored, seeds removed and thinly sliced), and the handful of quartered mushrooms. Continue to stir-fry, tossing frequently, for another 2–3 minutes, until all vegetables are crisp-tender.
Remove from the heat and transfer the vegetables to a serving dish. Serve immediately.