Hello gtau,
This seems to have cropped up with the latest tvOS 9.2 update. In some cases, but certainly not all, ATV loses the network connection while sleeping.
I don't experience the problem, but my Netgear router uses fixed DHCP leases of 24 hours, and I probably turn ATV on every day, so I haven't realy tested lease expiration while sleeping.
Static IP should avoid the lease problem, as long as it doen't conflict with the router's DHCP pool. The correct way to do it is to reduce the size of the pool and assign static values in the same network, but outside the pool range. The hack way to do it is to use a high value and assume DHCP will never get that high.
If it really happens with a correctly configured static IP, there might be a more fundamental problem in sleeping, but that should affect all users, which is not the case.