UPDATE: Situation resolved.
According to @BlizzardCS on Twitter, Blizzard server network providers are undergoing an DDoS attack that is affecting all of the company's titles including Overwatch, World of Warcraft, Diablo 3, Heroes of the Storm, Starcraft and Hearthstone.
[#BNet] We are currently monitoring a DDOS attack against network providers which is affecting latency/connections to our games.
— BlizzardCS (@BlizzardCS) June 28, 2016
It's worth keeping an eye on @BlizzardCS as the day wears on to see when the situation resolves itself.
Source: VG24/7