The Xilinx WebPACK Edition of the Vivado Design Suite supports the Zynq-7000 All Programmable SoC Devices (XC7Z7010 - XC7Z7030) devices. This covers all the devices in the MicroZed and PicoZed families as well as ZedBoard.
As shown here http://www.xilinx.com/products/design_tools/vivado/vivado-webpack.htm, WebPack provides support for the Integrated Design Environment, Software Development Kit, and Vivado Simulator. Compared to Design Edition, the only features that WebPack lacks are the Vivado Logic Analyzer and Vivado Serial I/O Analyzer.
If you are interested in adding those features to your WebPack install, you can purchase the Vivado Debug Standalone (Part Number EF-VIVADO-DEBUG-NL). The combination of WebPack and Vivado Debug Standalone basically gives you the same capabilities of Vivado Design Edition for those devices supported within WebPack.
To purchase EF-VIVADO-DEBUG-NL, talk with your local Avnet/Silica sales office or order online.
Bryan