Chromebook is not compatible with Windows. Simcity requires Windows, making Chromebook incompatible with Simcity.
Simcity 2013 Requirements
Operating Systems:
SimCity will run on Windows XP, Vista, and Windows 7.
CPU:
Intel C2D E4400, 2 GHz, or AMD X2 4000
Video Card:
Geforce 7800 GT or Radeon HD 2600 XT with 512 MB VRAM
***NOTE: each of the above-mentioned must also have Shader 3.0 or better support, and it is essential to the game’s performance and stability that the latest possible drivers for your video card are installed at all times (see my note#).
2 GBs RAM
Direct3D Dx9
Needed space on HDD 10 GB
Optical Drive:
DVD-ROM drive required.
Internet Connection:
Players will need an Internet connection of at least 256 kbps download and 64kbps upload or faster.
Here's that Note# :
The equivalent to those ancient minimums they named for playable results today: Geforce GT 640 and Radeon HD 6570 (desktop GPUs). Laptops are downgraded 20-30% from the average performance of the same-name desktop GPUs.
http://blog.laptopmag.com/best-chromebook-games