We extend the methods of Embedding calculus as developed by Goodwillie-Weiss to the setting of manifolds with an action by a finite group. In particular, we study the space of equivariant embeddings by scanning along an approprite notion of $G$-disks. Leveraging the work of Bierstone in equivariant immersion theory, we show that the first polynomial approximation to equivariant embeddings is the space of equivariant immersions. Moreover, we show that the layers of our embedding tower can be reduced to the study of nonequivariant homogeneous presheaves. Finally, we obtain that the equivariant embedding tower for EmbG(M,N)$\mathrm{Emb}^G(M,N)$ when $G=C_p$ and $N$has suitably high codimension.