I have been thinking over this and couldn't find anything about it online so far.
If I animate a corpse into a zombie to be my undead follower using the spell animate dead, when it is reduced to 0 HP will it get the benefit of its Undead Fortitude trait? If so, if it is then not slain, will I still retain the control over it afterwards?
The zombie's Undead Fortitude trait says:
If damage reduces the zombie to 0 hit points, it must make a Constitution saving throw with a DC of 5 + the damage taken, unless the damage is radiant or from a critical hit. On a success, the zombie drops to 1 hit point instead. (Basic Rules, p. 161)