Blizzard have been teasing us with tweets regarding possible cross-platform play on Overwatch. One player asked the Overwatch team on twitter and they replied saying that they would "keep an eye on cross-platform possibilities on the consoles."
However, with regards to the prospect of consoles players living in harmony with those on PC, they also said: "We have no plans for that. Mixing mouse/keyboard and controller can have balance and competitive issues."