  Hom-alternative, Hom-Malcev and Hom-Jordan superalgebras are
$\mathbb{Z}_{2}$-graded generalizations of Hom-alternative, Hom-Malcev and
Hom-Jordan algebras, which are Hom-type generalizations of alternative, Malcev
and Jordan algebras. In this paper we prove that Hom-alternative superalgebras
are Hom-Malcev-admissible and are also Hom-Jordan-admissible. Home-type
generalizations of some well known identities in alternative superalgebras,
including the $\mathbb{Z}_{2}$-graded Bruck-Kleinfled function are obtained.
