A space $X$ is cs-starcompact if for every open cover $\Cal U$ of $X$, there exists a convergent sequence $S$ of $X$ such that $St(S,\Cal U)=X$, where $St(S,{\Cal U})=\bigcup\{U\in{\Cal U}:U\cap S\neq\emptyset\}$. In this note, we investigate the closed subspaces of cs-starcompact spaces.