Henry Cavill’s manager confirms Man of Steel sequel

Conversing with Newsweek Henry Cavill's supervisor Dany Garcia confirmed that the Man of Steel continuation is being developed at Warner Bros, , which Cavill will feature after he is done taping his part in director Zack Snyder's Justice League, which will open in theaters next fall.

“Henry has a big appetite. We’ve been in a five-month period of time where he’s re-strategizing, acquiring property [for his production company Promethean], he’s filming [Justice League] now, he’s in development for the Superman standalone… he’s beginning to expand that world. It’s beautifully teed up. In a year from now, or two years from now, he’s going to be a force globally.”
Supergirl may show up in the film also because of the characters recently discovered ubiquity on the CW's new appear with the same name. However, that is all only gossip.