How to conveniently store the J1772 adapter has been a minor annoying puzzle for me ever since I got my car. And I should emphasize that it is very minor (mainly because I do not use J1772 chargers very often) and I only mention it because of this post's question about it.
My car is a 2015 so I have no special designated spot for it in the glovebox. I tried leaving it loose in the glovebox, but it rolls around and makes noise. Shortly after I got the car, I got a storage bag for the lower compartment in the trunk. I keep my cleaning supplies there and a few other items. The storage container has a couple of outer pockets, so for a long time I placed the adapter in one of those pockets. The only problem was that I'd have to open the trunk, and lift the carpet plus the compartment cover to retrieve the adapter when I needed it. Once I got my Tesla all-weather mats for the trunk, there was another layer to lift. And sometimes there was "stuff" in the trunk that I'd need to move or lift to get at the adapter. And I'd have to reverse the process to return the adapter to its place under the floor. So in the heat of the moment it could be annoying.
Lately I have been keeping it in my center console. I got the Tesla optional center console before they became standard. I sort of wedge the adapter next to a cupholder so that it is secure and won't roll around. That works, but it could get in the way if I need to use the cupholder. (I normally use the armrest cupholder.)
So, the console is workable and avoids noise but it would be nice to think of some other way to store it.
Now if only we had a door pocket....