Which is required for both anaerobic respiration and aerobic respiration?
oxygen
water
mitochondria
glucose

The key components needed for both aerobic and anaerobic cellular respiration within cell membranes are water, mitochondria, and glucose. Mitochondria are the power house of the cell responsible for transporting energy throughout other organelles. Aerobic respiration requires the presence of oxygen to convert ADP into ATP, without oxygen organelles within the cell will not be able to do this conversion of energy. 

Anaerobic respiration does not need the presence of oxygen but it uses electron acceptors to perform respiration. The most important process for anaerobic respiration is the electron transport chain.

Water, mitochondria, and glucose are all required for both anaerobic respiration and aerobic respiration.

Oxygen, on the other hand, is only used in one of the two kinds of respiration.
If oxygen is present in the cells, then the cellular respiration that will be carried out will be aerobic respiration. If oxygen is absent in the cells, then the type of cellular respiration that will be carries out will be anaerobic respiration.