  In this paper, we study the observability of the top-Higgs flavor changing
neutral current (FCNC) $tqh$ coupling through the process $pp\to qg\to t(\to
\ell^{+}b\nu)h(\to \gamma\gamma)$ at the Large Hadron Collider~(LHC), where
$\ell=e, \mu$. Our numerical results show that, in some parameter regions, the
LHC may observe the above signals at the $5\sigma$ level. Otherwise, the
branching ratios $Br(t\to uh)$ and $Br(t\to ch)$ can be respectively probed to
$0.036\%$ and $0.13\%$ at $3\sigma$ level at 14 TeV LHC with the high
integrated luminosity of 3000 fb$^{-1}$. On the other hand, studying the charge
ratio for the lepton in top quark decay can be not only used to discriminate
between signal and backgrounds, but also used to discriminate between $tuh$ and
$tch$ couplings, for which anomalous single top production comes from the up
initiated channel and charm initiated channel.
