Quantum embedding theories have emerged as effective strategies for applying high-level electronic structure methods to specific regions of interest within large systems. These theories integrate different electronic structure methods for the different regions, guided by the principle that the solution of the subsystem of interest should reflect that of the entire system. Integration of both single-reference and multi-reference high-level solvers within embedding approaches has showcased notable advantages in terms of accuracy and efficiency for a diverse range of systems, including both molecular and periodic systems. Electrostatic embedding, molecular mechanics, and projection-based techniques have been employed to apply EOM-CC to extended systems to address valence excitation, ionization, or electron attachment studies. 61-65 Dynamical mean-field theory (DMFT) based core-spectroscopy has also been explored for transition metal oxides. Starting from a DFT reference wave function for the entire system, embedded EOM-CC (wave function in DFT embedding) has been presented by Jagau et al. They have included core-ionization and excitations for certain solvated molecules. In this study, we use, for the first time, density matrix embedding theory (DMET) to perform EOM-CC calculations of core ionization energies. Within the DMET framework, the user can specify any orbital subset of a large system as an embedded fragment; via the Schmidt decomposition, an unentangled embedded subsystem of controlled size is obtained, in which any arbitrary quantum chemistry method can be applied. This flexibility makes DMET applicable to small covalently-bound segments of large molecules without requiring any arbitrary truncation of broken covalent bonds. Since DMET uses a Hartree-Fock lowlevel wave function to describe the whole system, it also does not double-count electron correlation, unlike some wave-function-in-DFT embedding methods. In the next section, we provide a concise overview of EOM-CC, CVS, and DMET. Subsequently, we present the results of IP-CVS-EOM-CCSD* calculated for the core65 dataset, which accurately reproduces core-ionization energies within 1 eV of experimental values.