Quagga inside a CT requires 3 Linux capabilities configured for the container on the host node:
vzctl set CTID --capability net_admin:on --save vzctl set CTID --capability net_raw:on --save vzctl set CTID --capability sys_admin:on --save
When they are not configured, you'll see the following symptoms when starting up zebra:
# zebra privs_init: initial cap_set_proc failed
And when stracing:
# strace zebra [..] capset(0x19980330, 0, {CAP_NET_ADMIN|CAP_NET_RAW|CAP_SYS_ADMIN, CAP_NET_ADMIN|CAP_NET_RAW|CAP_SYS_ADMIN, 0}) = -1 EPERM (Operation not permitted) write(2, "privs_init: initial cap_set_proc"..., 40privs_init: initial cap_set_proc failed ) = 40 exit_group(1) = ?