The glasses required is nothing to do with the game but depends on the display being used.
It was also announced back in July Avatar the game would require X360 with HDMI to work with compatible 3DTVs.
If the 3DTV / Display outputs a 3D image suitable for affordable "Polarised" glasses then thats not a problem. If you have a 3DTV that uses "Shutter Technology" rather than "Polaraised" then yes you will have to use compatible glasses. RealD for example have "Shutter" glasses and signed agreements with Sony/JVC/Samsung which should offer a better 3D experience and with less motion blur than Nvidia's Nvision (approx 2-4ms)
FAQ
"Avatar: The Game is able to output most 3D signal formats from your Xbox 360 and PlayStation 3, including: RealD, Sensio, side-by-side, line-interlaced, and full checkerboard. On the PC version, Avatar: The Game supports all of the previous formats plus the NVIDIA® 3D Vision™, iZ3D and dual head formats. "
"Sensio" for example use their own hardware already licensced in some / upcoming TVs and Viewsonic products. Im not sure if they are incorporated in the new LG 3DTV models but indeed some of the new TVs will also have their 2D-3D encoders. They also announced a partnership with THX and looks like their hardware will feature in lots of 3D displays. The benifit of Sensio technology is that its compatible on all current 2D hardware sources looking to benifit in 3D material like X360, Satellite, VOD, Internet Movie/Sport services.
As yet Im only aware that Blu Ray has the ability to support 2x FULL FRAME 1080 3D so should offer higher quality images in 3D.
More Info Here Guys
CEO from Sensio explains how it works and X360 being limited to not being able to output two full 720p frames with the bandwidth limits of HDMI 1.2 and the X360