We report on a search for the process p anti-p --> gamma + W/Z with W/Z --> qq-bar in events containing two jets and a photon at the center-of-mass energy s**(1/2) = 1.96 TeV, using 184 pb-1 of data collected by the CDF II detector. A neural network event selection has been developed to optimize the rejection of the large QCD production background; it is shown that this method gives a significant improvement in both signal-to-noise ratio and signal sensitivity, as compared with an event selection based on conventional cuts. An upper limit is presented for the gamma + W/Z production cross section with the W and Z decaying hadronically.
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