Will most likely depend on the specs. In a high-rise application a remote generator status panel is required in the fire command room.
E-generator by NEC definition is termed "Legally Required Standby Systems"
Article 701
701.8 Signals.
Audible and visual signal devices shall be provided, where practicable, for the purposes described in 701.8(A), (B), and (C).
(A) Derangement. To indicate derangement of the standby source.
(B) Carrying Load. To indicate that the standby source is carrying load.
(C) Not Functioning. To indicate that the battery charger is not functioning.
FPN: For signals for generator sets, see NFPA 110-1999, Standard for Emergency and Standby Power Systems.
Unfortunatly the location for these signals to be received is not addressed. You must consult the AHJ.