Welcome to GasSavers: The question you ask is a tricky one. The issue is that almost all automatic transmissions operate off of a pump which is driven from the front of the transmission and therefor the motor. Consequently when you are coasting in neutral, with the engine off, the pump is not turning and their is no oil pressure.
However, if you are in neutral, then the gears of the transmission are not engaged and their isn't any real loading on the transmission. I believe their may be some people on here who have tried doing EOC with an Automatic. I haven't heard of anyone destroying their transmissions, yet. However, I wouldn't be doing it. The gains from EOC are not great enough, at least for me, to risk mechanically wrecking the transmission.
On the other hand, if you wrecked it, then you could get a manual transmission installed, so you could EOC without killing the transmission.
Personally, I wouldn't.
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