Wilshere, however, rallied in support of his national manager, telling the London Evening Standard: "It is not the manager's fault.
"The manager can pick the team but the players have to go on the pitch and do it. Everyone here respects the manager. He has got a fantastic CV and been to World Cups before.
"If anything comes out of this, it is that this manager is the one to take us forward. Even if we had won against Costa Rica, we would have been disappointed. We are going to wake up every day wondering 'what if?' but we have to get over it."
The Football Association has insisted that Hodgson retains its unequivocal backing.