It should work. see, Minimum system requirements for Zoo Tycoon 2 A Pentium 733 megahertz (MHz) or higher processor.
One of the following operating systems: Microsoft Windows 98 Second Edition Microsoft Windows Millennium Edition (Me) Microsoft Windows 2000 Windows XP Windows Vista Windows 7 (SEE RIGHT HERE) 256 megabytes (MB) of RAM. A hard disk with at least 900 MB of available space. A 4x speed or higher CD drive. A Direct3D-compatible super VGA graphics adapter with at least 16 MB of Video RAM (VRAM). A keyboard and a Microsoft mouse or compatible pointing device. A sound card and speakers or headphones. DirectX 9.0b or a later version. Internet access to download optional content. A supported graphics adapter with at least 16 MB of memory.