According to a licensing board hearing page within the city's website, Mooyah Burgers, Fries & Shakes is planning to open on Tremont Street (across from Boston Common) in the Ziti's Italian Express space, with the locations page on the chain's website confirming that it is indeed "coming soon." Once it opens, the new location of Mooyah will join another spot on Centre Street in Jamaica Plain as well as others in Billerica and Northborough. (Another outlet on the Hudson/Berlin line will also be opening at some point. [Ed note--now open.])
In late 2015, we had mentioned that Mooyah was planning to open approximately 20 locations in the Greater Boston area over the next several years, though it is not known if these plans are still in place.
Ziti's Italian Express first opened in March of 2015, replacing an outlet of UBurger.
The address for this new burger spot in downtown Boston is: Mooyah Burgers, Fries & Shakes, 140 Tremont Street, Boston, MA, 02111. The website for the chain can be found at http://www.mooyah.com/
[December 21 update: Eater Boston states that Mooyah Burgers, Fries & Shakes is now open in downtown Boston.]
[December 26 update: QSR mentions that this is only a soft opening of Mooyah in downtown Boston, with a grand opening taking place over the coming weeks.]
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[Related article from our sister site (Boston's Hidden Restaurants): Slideshow--Ten Burgers from Restaurants in the Boston Area]