Once you set the rotation as you want it, you could then save it as a Graphic Style, which can be appled to other objects. I don't know that there is another way of saving a rotation preset.
To save as a Graphic Style, open the panel (Window > Graphic Styles) and with your customized object selected, click the plus button to create a Graphic Style (which is basically saving all of the appearance settings for that object, including the 3D effect). To apply a Graphic Style to another object, click the saved graphic style thumbnail - or hold option/alt to keep the appearance of the current object (like it's color) while adding the graphic style.