  We study the Higgs boson decays $h^0 \to c \bar{c}, b \bar{b}, b \bar{s},
\gamma \gamma, g g$ in the Minimal Supersymmetric Standard Model (MSSM) with
general quark flavor violation (QFV), identifying the $h^0$ as the Higgs boson
with a mass of 125 GeV. We compute the widths of the $h^0$ decays to $c \bar c,
b \bar b, b \bar s (s \bar b)$ at full one-loop level. For the $h^0$ decays to
photon photon and gluon gluon we compute the widths at NLO QCD level. We
perform a systematic MSSM parameter scan respecting all the relevant
constraints, i.e. theoretical constraints from vacuum stability conditions and
experimental constraints, such as those from K- and B-meson data and
electroweak precision data, as well as recent limits on Supersymmetric (SUSY)
particle masses and the 125 GeV Higgs boson data from LHC experiments. From the
parameter scan, we find that the deviations of these MSSM widths from the
Standard Model (SM) values can be quite sizable. All of these large deviations
in the $h^0$ decays are due to large scharm-stop mixing, large scharm/stop
involved trilinear couplings $T_{U23}, T_{U32}, T_{U33}$, large
sstrange-sbottom mixing, and large sstrange/sbottom involved trilinear
couplings $T_{D23}, T_{D32}, T_{D33}$. International Linear Collider (ILC) can
observe such large deviations from the SM at high signal significance. In case
the deviation pattern shown here is really observed at ILC, then it would
strongly suggest the discovery of QFV SUSY (the MSSM with QFV).
