Palaver ZNC module provides push notifications.

znc-buildmod palaver.cpp

Copy the compile ZNC module to your ZNC settings:

$ cp palaver.so ~/.znc/modules

Now load the ZNC module:

/msg *status loadmod palaver

You will be mentioned when any of the following rules are met:

• You get a private message directly to you.
• Any message which includes your current nickname.
• A message contains a mention keyword from the mention keywords in Settings > Mentions

Notifications will only be sent if all your clients are disconnected, or marked as away. You can use the clientaway module to mark a connected client as away.