Patients with nonresectable adrenocortical cancer who have progressed on at least one other form of systemic therapy (Mitotane or chemotherapy) will be given Iressa 250 mg by mouth daily until disease progression. This is a standard two-stage Phase II clinical trial. Eighteen patients with measurable disease will be enrolled in the first stage. If there is at least one responder, then an additional nine patients with measurable disease will be enrolled for a total of 27 patients with measurable disease. Up to six patients without measurable disease may be enrolled at any point in this study. Iressa will be provided free for all study participants.