Can i put and automatic transmission oil cooler in my 1985 mazda rx7 13b gsl-se manual transmission?

i was told that my model car only came with an automatic transmission, which is weird because my car has a manual transmission and my oil cooler has a major pressurized leek so i am trying to replace the whole oil cooler and every part store says they only have oil coolers for automatic transmission models of my vehicle. so i was wondering if i put the automatic transmission oil cooler on my car instead of a manual transmission oil cooler (if anyone know where to get one please tell me) will it affect anything or damage anything?