The short answer is: oxygen is not directly used in the citric acid cycle, but the cycle depends on oxygen indirectly to keep running.
So, let me explain that a little more:
During the citric acid cycle, the main purpose is to extract high-energy electrons from carbon compounds and transfer them to electron carriers — specifically NAD⁺ and FAD — turning them into NADH and FADH₂. These electron carriers then bring the electrons to the electron transport chain (ETC), which is where most of the cell’s ATP is made.
So here's the key part: the ETC needs oxygen to function (oxygen is the final electron acceptor). If oxygen isn’t available, the electron transport chain gets backed up because there’s nowhere for the electrons to go. As a result, NADH and FADH₂ can’t unload their electrons, and they don’t get converted back into NAD⁺ and FAD. And that’s a big problem — because the citric acid cycle needs fresh NAD⁺ and FAD to keep accepting electrons and continue running. So even though oxygen isn’t a reactant in the citric acid cycle itself, the cycle cannot continue without oxygen because it depends on the ETC to regenerate NAD⁺ and FAD.
(Unlike glycolysis, where cells can temporarily regenerate NAD⁺ through fermentation (such as making lactate in muscle cells), there’s no alternative way to regenerate NAD⁺ or FAD during the citric acid cycle without oxygen. That means, in the absence of oxygen, the citric acid cycle comes to a halt).