No, a radiator designed for a manual transmission vehicle will almost certainly not work in a vehicle with an automatic transmission. The reason is that automatic transmissions require a separate cooler, often integrated into the radiator, to cool the transmission fluid. Manual transmissions generally rely on the engine coolant to cool them indirectly through the engine block.
A radiator for a manual transmission car typically only cools the engine coolant. An automatic transmission radiator has additional passages and a much larger capacity to handle the transmission fluid. Trying to use a manual transmission radiator in an automatic transmission vehicle would result in overheating and potential damage to the transmission.
