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We establish the interior $C^{1,\alpha}$-estimate for viscosity solutions ofdegenerate/singular fully nonlinear parabolic equations $$u_t =|Du|^{\gamma}F(D^2u) + f.$$ For this purpose, we prove the well-posedness ofthe regularized Dirichlet problem \begin{equation*} \left\{ \begin{aligned}u_t&=(1+|Du|^2)^{\gamma/2}F(D^2u) &&\text{in $Q_1$} \newline u&=\varphi&&\text{on $\partial_p Q_1$}. \end{aligned}\right. \end{equation*} Our approachutilizes the Bernstein method with approximations in view of differencequotient.

$C^{1, \alpha}$-regularity for solutions of degenerate/singular fully nonlinear parabolic equations