I have never tried it or even thought of needing to do it, but if I were going to do it is probably drain it as best I could first. The fogging oil may be OK, but maybe something like aerosol Rem Oil gun oil or something less waxy than fogging oil would be better for long term fuel pump storage? More importantly, I think, would be to make sure to drain as much fuel out as possible and then vacuum seal it to try to remove as much atmospheric air as possible. I’d put it in a FoodSaver bag and seal it up and store it in a cabinet out of extreme temp swings. These things seem to be pretty durable though and seem to keep on working for a long time with no special care. Others may have more ideas.
-Ben