Unless I'm mistaken, I'm fairly sure there's no confirmation yet as to whether this is actually a new
season. The source (and ANN) only point out the production of a new "anime" was greenlit, and that could be a bunch of things, including some OVA(s) like the ones Onegai Teacher got for instance.
Of course, I loved anonatsu and would love to get a whole new season, but I'm keeping my excitement in check for now, mainly because I'm not too sure what kind of material they could use for another cour. Although I do trust Kuroda enough, so even if they eventually confirm another season, I'm fairly certain I'm going to dig it regardless. Just hope we get more Kai x Ichika moments, haha.
EDIT: And
now confirmed to be an OVA that comes with the BD box. Out this summer. Not exactly surprising, a new season would've been really weird.