Blizzard has posted a very short notice at the top of the World of Warcraft public test realm patch notes that indicates that v6.2.2, the "flying patch", will be released on Tuesday, September 1st, September 2nd in Europe. Flying has not been part of Warlords of Draenor since it released in November 2014, the lack of which has been a source of controversy in the WoW community.
In order to fly in Draenor, players will have to complete a meta achievement called Draenor Pathfinder that includes a number of smaller achievements including reputation gains, exploration and collection.
Source: World of Warcraft community site