In the context of mitochondrial disease affecting ATP production, the method of cellular transport that would still function in the affected animal cells is a. Simple diffusion.
Simple diffusion does not require energy (ATP) as it relies on the concentration gradient for movement across the cell membrane. In contrast, pinocytosis, phagocytosis, and active transport all require energy to move substances across cellular membranes, which would be impaired in cells with mitochondrial diseases due to a lack of ATP.