Can undead created by Animate Dead use magic wands?

One of my players learned the Animate Dead spell. He asked me if he could equip his zombies and skeletons with weapons (Which is possible) or wands.

I’m pretty sure that undead can’t use any magic item that requires attunement as there is no mentioning of skeletons/zombies being able to attune to magic items, but I’m not sure wether they can use wands or other magic items that don’t require attunement.

In the description of the skeleton in the MM it states

Obedient Servants … A skeleton can fight with weapons and wear armor, can load and fire a catapult or trebuchet, scale a siege ladder, form a shield wall, or dump boiling oil. However, it must receive careful instructions explaining how such tasks are accomplished. …

The description of the zombie states:

Mindless Soldiers … A zombie armed with a weapon uses it, but the zombie won’t retrieve a dropped weapon or other tool until told to do so.

Based on this I’d deduce that those undead can only fight using weapons and not magic wands. On the other hand I didn’t find anything that explicitly states that it’s not possible.

Is there any other source that explicitly states that it’s possible/not possible