Add 2 tablespoons of olive oil, balsamic vinegar, lemon juice, and zest to a small mixing bowl. Season with salt and black pepper. Whisk to combine, then set aside.
In a larger bowl, mix cherry tomatoes, scallions, chives, fresh herbs, crushed garlic, crumbled feta cheese, and cubed chicken.
Slice the ends off of each zucchini, then slice them in half to fit spiralizer. Attach spaghetti blade to spiralize zucchini noodles. Sauté in a large skillet with 1 teaspoon of olive oil for 2 minutes, making sure all the noodles come in contact with the bottom of the pan.
Add noodles over a colander to drain any rendered liquid, cut extra-long noodles so they're more manageable to eat, then add to the bowl of veggies. Drizzle with dressing and toss with a pair of tongs to combine the ingredients. Serve immediately!
Notes
Don't overcook the zucchini noodles, no one likes mushy, soggy noodles. Instead, go for al dente.
After spiralizing noodles, toss with a little salt and drain on paper towels for 10 minutes. This pulls out excess water. Pat dry before cooking.
For crisp, salad-style zoodles, don't cook at all! Just toss them raw with the other ingredients.
A wide, hot pan gives moisture room to evaporate quickly instead of steaming the noodles.
This dish is best enjoyed fresh. I don't recomment storing it longer than 1 day in an airtight container in the fridge.