We report on a measurement of the cross section for direct-photon production in association with a heavy quark using the full data set of s√=1.96  TeV proton-antiproton collisions corresponding to 9.1  fb−1 of integrated luminosity collected by the CDF II detector at the Fermilab Tevatron. The measurements are performed as a function of the photon transverse momentum, covering a photon transverse momentum between 30 and 300 GeV, photon rapidities |yγ|<1.0, a heavy-quark-jet transverse momentum pjetT>20  GeV, and jet rapidities |yjet|<1.5. The results are compared with several theoretical predictions.