  Let $F$ be a $p$-adic field and $E/F$ be a quadratic extension. In this
paper, we prove the stability of Rankin-Selberg gamma factors for
$\textrm{Sp}_{2n}(F)$, $\widetilde {\textrm{Sp}}_{2n}(F)$ and
$\textrm{U}_{E/F}(n,n)$ when the characteristic of the residue field of $F$ is
not $2$.
