Preheat your oven to 400 degrees f.
In a 13x9-inch baking dish, stir together the cherry tomatoes, 1 Tablespoon of olive oil, garlic, oregano, sea salt, and pepper.
Make some space in the center and add in your feta cheese. Drizzle the remaining 1/2 Tablespoon of olive oil on top of the feta.
Bake, until the cheese is soft and golden on top and tomatoes are roasted and bursting, about 30 minutes.
While the feta is baking, thoroughly wash your zucchini squash and trim off the ends.
Using a spiralizer, create zucchini noodles; aka zoodles. If you don't have a spiralizer, you can simply run a vegetable peeler down the length of the zucchini to create thin ribbons.
Remove the baking dish from the oven and add in your chopped fresh basil.
Using a fork, mash the feta and stir it together with the tomatoes to form a sauce as shown in the video.
Add your zoodles immediately to the still very hot baking dish, and toss well to combine with the sauce. Your hot tomato/feta sauce should warm your zucchini noodles nicely.
Garnish the pasta with extra fresh basil and freshly ground black pepper, if desired.
Serve immediately and enjoy!