The wild oven is basically a wood-fired pizza oven. To build a wild oven, you need to factor in the aspects of a wood-fired pizza oven. However, a slight distinction is in the materials used, while the standard wood-fired pizza oven is built with fire bricks, the wild pizza oven is popularly build with natural stones collected locally, adobe bricks, or clay.
Wild pizza oven is common for outdoor setting. It can be built in the backyard for home use, or in an open club or camping site. The procedure for building the wild pizza is typical of any other pizza oven. It all depends on the design of the oven; igloo or barrel.
Further information: How to build a pizza oven, Make your own barrel brick pizza oven and outdoor setting, and Build a wood burning clay pizza oven