He really should resign.
Check it out:

Sen. Jerry Moran (R-Kan.), the first senator to call for Veterans Affairs Secretary Eric Shinseki’s resignation after allegations surfaced of secret wait lists and delays at some VA clinics, said he was not satisfied with the secretary’s testimony Thursday on Capitol Hill.

“I asked more than a week ago for Secretary Shinseki to offer his resignation and for President Obama to accept it, and nothing I heard today causes me to have any doubt about the rightness of the course,” he told The Hill after the hearing. “I still think that is necessary.”