We report the design of a 3d printing foaming process to produce polylactic acid, thermoplastic polyurethane and polyethylene terephthalate foamed with physical blowing agents. In the context of polymeric cellular materials, gas foaming processes using either physical or chemical blowing agents are extensively utilized to produce pores without a spatial control of the pore positioning. This intrinsic stochastic structuring may introduce imperfections which reduce the overall mechanical properties; thus, periodic structures are more desirable than the stochastic ones. 3D printing is another technique to fabricate polymeric cellular materials, that gives the possibility to produce the cellular materials with empty spaces in precise locations and with a defined structure. To this end, very expensive 3d printers are required to achieve micron-resolution. Correspondingly, production time increases dramatically, and becomes a bottle-neck to the industrial scale up. Herein, we present a novel technique that combines the simplicity of polymer foaming processes with the 3d printing. The resulting cellular materials have the advantages of both the techniques: they have a submicron-controlled cell structure and can be printed at reasonable costs and time. The effect of processing conditions on the printed cellular materials from commercially available filaments, namely foaming/printing temperature, gas concentration and printing speed, are investigated.