  We study if the minimal sneutrino chaotic inflation is consistent with a
flavor symmetry of the Froggatt-Nielsen type, to derive testable predictions on
the Dirac and Majorana CP violating phases, $\delta$ and $\alpha$. For
successful inflation, the two right-handed neutrinos, i.e., the inflaton and
stabilizer fields, must be degenerate in mass. First we find that the lepton
flavor symmetry structure becomes less manifest in the light neutrino masses in
the seesaw mechanism, and this tendency becomes most prominent when
right-handed neutrinos are degenerate. Secondly, the Dirac CP phase turns out
to be sensitive to whether the shift symmetry breaking depends on the lepton
flavor symmetry. When the flavor symmetry is imposed only on the stabilizer
Yukawa couplings, distributions of the CP phases are peaked at $\delta \simeq
\pm \pi/4, \pm 3\pi/4$ and $\alpha = 0$, while the vanishing and maximal Dirac
CP phases are disfavored. On the other hand, when the flavor symmetry is
imposed on both the inflaton and stabilizer Yukawa couplings, it is rather
difficult to explain the observed neutrino data, and those parameters
consistent with the observation prefer the vanishing CP phases $\delta = 0,
\pi$ and $\alpha = 0$.
