Assume G is the commutative rings with identity and Q is the left G-modules. An aim for this research is to present and study a new concept (Z-small primary submodules), which is a generalization of a previously studied concept (primary submodules). Some of the properties and characteristics of this kind of submodule have been deduced and demonstrated, along with examples. The relationship between it and previous concepts was studied, and conditions of equivalence between them were given. We show that every primary submodule qualifies as a z-small primary submodule.  When a module is a z- hollow (hollow), then every z-small primary submodule qualifies as a primary submodule.  We also prove each small primary submodules be the z-small primary submodules. When a module is nonsingular, every z-small primary submodule is small primary. Also, we prove that [E: C] is a primary ideal of G, ∀ C ≪ Z Z V and C ⊋ E, if E is a Z-small primary submodule of V.