I'm just wondering if DC/Warner Bros. have any plans to connect Supergirl to either the DC Movieverse or to the universe of Arrowverse? Will she get at least a mention in Batman vs Superman? It makes more sense to go with the latter. Greg Berlanti is both one of the creators of and an executive producer on Arrow, The Flash, and Supergirl, and CBS co-owns The CW along with Warner Bros. It also makes sense because the various DC series on TV right now obviously exist in continuities separate from the ones that Man of Steel and the upcoming movies are in, so why not bundle Supergirl, Arrow, The Flash, and Constantine all into a single shared universe?
Unfortunately, CBS President Nina Tassler isn't all that keen on the idea, wanting to "keep Supergirl for ourselves for a while." and pointing out that Arrow and The Flash air on a different network. Yeah, a network that your parent company co-owns. CBS would make money either way and especially from crossovers. You can't tell me that the hype of seeing Supergirl teaming up with The Flash and/or the Arrow wouldn't be huge and successful. Of course, she might just be wary of the show's success or maybe how continuity between the three might become complicated. But seeing as how Greg Berlanti is involved with all three, he could easily make sure everything runs smoothly. Just give it a chance!
Supergirl pictures via The Verge.