Most of the time, when we hear a new rumor or leak details, we will take it with a pinch of salt until the developer officially announce it but that is no longer necessary here.
A GameStop employee posted an image on Eurogamer informing us all that the developers are working on an HD Collection called the Batman: Return to Arkham. The screenshot should an upcoming deal that GameStop will be offering.
In the description box, it writes that the HD Collection will come with two games which should be the Batman: Arkham Asylum and Batman: Arkham City and that the HD Collection will come with all the DLC and additional content that the game has.
It also states that the game will be released on the 10 of June. At this point, the developers might as well announce it to the world.