Step 1: Concept Certain nitrogen oxides act as catalysts in the upper atmosphere to break down ozone ($O_{3}$).
Step 2: Meaning Nitric oxide (NO) is released directly into the stratosphere by high-altitude supersonic jets.
Step 3: Analysis NO reacts with ozone: $NO + O_{3} \rightarrow NO_{2} + O_{2}$. The $NO_{2}$ then reacts with atomic oxygen to regenerate NO, allowing the cycle to repeat.
Step 4: Conclusion Thus, NO is the primary oxide of nitrogen involved in this destructive cycle.
Final Answer: (C)