FEZ developer Polytron Corporation has said it is aware of issues being reported with the game on Xbox 360 and is working with Microsoft to get the problems resolved as quickly as possible.
According to the developer, some of the issues stem from a small subset of "older Xboxes with smaller hard drives" not being able to "tun the game at all," and other users are reporting the game has trouble running off a USB stick.
Crashes are also occurring in "specific levels or situations," and in a "rare situation, exiting the game from the “wall village” interiors," results in an "unstable" save file.
Polytron said it currently doesn't have an ETA on the patch, but considering the game had "more testing done in the past 24 hours by about twenty thousand people than it had in five years," bugs were liable to pop up.
It apologized for any issues which may have occurred, and said to contact support for any issues not listed.