The superconducting phase, $YBa_{2}Cu_{3}O_{x}$ (YBCO), was in-situ deposited on the single crystal MgO substrates, using an aerosol decomposition process in a cold plasma reactor. The solubility and decomposition temperature of the chemical precursors, and the vapor pressures of the solvents, were determined to be the factors crucial to achieving a stoichiometric, crystalline YBCO phase. The deposition parameters for the YBCO phase were 0.3 to 2.7 kPa for the oxygen partial pressure and $800^{circ}C$ to $940^{circ}C$ for the substrate temperature. The optimum deposition conditions for the YBCO phase were observed along the CuO decomposition line.