Searches for slow radio transients and variables have generally focused on extragalactic populations , and the basic parameters of Galactic populations remain poorly characterized . We present a large 3 GHz survey performed with the Allen Telescope Array ( ATA ) that aims to improve this situation : ASGARD , the ATA Survey of Galactic Radio Dynamism . ASGARD observations spanned 2 years with weekly visits to 23 deg ^ { 2 } in two fields in the Galactic Plane , totaling 900 hr of integration time on science fields and making it significantly larger than previous efforts . The typical blind unresolved source detection limit was 10 mJy . We describe the observations and data analysis techniques in detail , demonstrating our ability to create accurate wide-field images while effectively modeling and subtracting large-scale radio emission , allowing standard transient-and-variability analysis techniques to be used . We present early results from the analysis of two pointings : one centered on the microquasar Cygnus X-3 and one overlapping the Kepler field of view ( \ell = 76 \arcdeg , b = +13.5 \arcdeg ) . Our results include images , catalog statistics , completeness functions , variability measurements , and a transient search . Out of 134 sources detected in these pointings , the only compellingly variable one is Cygnus X-3 , and no transients are detected . We estimate number counts for potential Galactic radio transients and compare our current limits to previous work and our projection for the fully-analyzed ASGARD dataset .