I have put a 302CI & AOD tranny into my 49 Ford F1. I noticed when the transmission is in park I can still roll the vehicle. When I do this there is a mild click sound and slight jerking of the drive line. I have removed the shifter cable and placed the tranny in park to make sure it wasn't a shift cable adjustment problem and it still does it.
How much work is involved in replacing the park rod assembly in the tranny because mine is apparently broke.
Sounds more like the park pawl is worn down or sticking. I'm no trans man, but I think it's visible & accessible just by dropping the pan. The AOD was the basis for the AODE & 4R70W, so it should be very similar (if not identical) to this:
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