Board Thread:Theories and Speculation/@comment-3001903-20160803001752/@comment-25449165-20160914003844

The Reanimation Jutsu basically brings the dead soul back and implants them into a sacrificed body, with all previous techniques they had before their death. Rinne Tensei requires a Rinnegan, which when a user that had had it before their death and was brought back with Edo Tensei, will have it.

Normally using Rinne Rebirth will kill you. In Nagato's case, his soul went to the afterlife (thus why he was able to come back with Edo Tensei). I think that even if you're a Reanimation, you can still die after using Rinne Rebirth. Because if you think about it, Reanimations can sustain a lot of physical damage and regenerate (unless you get hit by a Truth Seeking Ball). But nothing says about sacrificing your soul. So yeah. If you try using Rinne Rebirth even while as a Reanimation, you will die and your soul goes back to the afterlife.

So, Nagato CAN use the Rinne Rebirth Jutsu while he is a Reanimation. It's only a matter of whenever he wants to use it or not, because if he does, his soul goes back to the afterlife. (Actually this may be a way to escape the Edo Tensei....)