Cook the pasta according to package directions in a large pot of salted water. Drain and set aside.
Heat the olive oil in a large skillet over medium-high heat. Add the tomatoes and salt and cook, stirring occasionally until the tomatoes have burst. This takes about 5 minutes.
Add the zucchini noodles, shrimp, chives, red pepper flakes, and allow to cook uncovered for about another 5 minutes. The tomatoes will turn into a sauce and the shrimp will turn opaque. Stir in the basil and pasta and add more salt to taste.
Divide between two plates and enjoy.
