No, you can't Resurrect your friend
Strictly by RAW, Animate Dead creates an undead creature, the thing is no longer "your friend's corpse", it is now a zombie with the zombie game statistics:
Your spell imbues the target with a foul mimicry of life, raising it as an undead creature.
With the above, your teammate has become a zombie, and when destroyed, becomes a dead zombie and not a dead PC.
One of the prerequisites for Resurrection is that the corpse cannot be undead:
You touch a dead creature that has been dead for no more than a century, that didn't die of old age, and that isn't undead.
This is further supported by Jeremy Crawford's tweet:
If you cast revivify on a zombie, the creature returns as a zombie. The spell doesn't change creature type.
- Jeremy Crawford
You also cannot use Raise Dead on him as Raise Dead also states:
The spell can't return an undead creature to life.
However, True Resurrection does not appear to have the same limitations as the previously mentioned spells, so you probably can get someone to cast True Resurrection, if you're able to pay.