They do show up in your battles (you only see your battles and those your friends requested support from you), and if you have been offline for a bit, you also get a Nutaku message, which may result in an email as well, depending on your Nutaku settings.
What I meant was before I start a battle I would see battle list on screen but, inside of battle list you would see something like Mega Boss Outbreak. My question is are they asking me to help attack her?