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We study the impurity problem in a gas of 173Yb atoms near the recently discovered orbital Feshbach resonance.In an orbital Feshbach resonance,atoms in the electronic ground state 1S0 interact with those in the long-lived excited 3P0 states with magnetically tunable interactions.We consider an impurity atom with a given nuclear spin in the 3P0 state interacting with a single-component Fermi sea of atoms in the ground 1S0 manifold.Close to the orbital Feshbach resonance,the impurity can induce collective particle-hole excitations out of the Fermi sea,which can be regarded as the polaron state.