The present approach using state-specific natural orbital can only reduce the dimension of the virtual orbital. However, due to the localized nature of the occupied orbital, one can use the embedding techniques to reduce the size of the computational cost of the occupied orbital. While preparing this manuscript, we came across the IP-EOM-CCSD* implementation based on density matrix embedding theory (DMET) by Gagliardi and co-workers . Our SS-FNO-IP-EOM-CCSD* method can be easily combined with the embedding theories.