Although Chelsea had initially agreed to his request to leave, they are now wavering.
With a shortage of adequate replacement strikers, Chelsea chief executive Peter Kenyon may yet put his foot down.
Grant said: "Didier has not said to me that he wants to leave. Sometimes Didier has bad days and sometimes good days, but he gives everything for the team. We have 27 players in the squad and they don't all tell me they are staying."