If your App does not support IPv6 on the official rollout then you will no longer have network connectivity. If you use native platform functions you're fine. If you use unix/bsd sockets, you're in trouble.
From the backend perspective however, IPv4 will be allowed... for now. Basically what happens is the client is expected to send an IPv6 packet to the phone carrier which then will translate it to IPv4 if needed. Since many big cloud providers (like Amazon) still don't support a proper IPv6 solution this approach will likely be around for quite some time.