A300
Flight Crew Multiengine; Flight Crew Air Transport Pilot (ATP); Flight Crew Instrument
Distraction
Deviation - Altitude Overshoot; Deviation - Altitude Excursion From Assigned Altitude; Deviation / Discrepancy - Procedural Published Material / Policy; Inflight Event / Encounter CFTT / CFIT
Flight Crew Became Reoriented; Flight Crew Overcame Equipment Problem
Human Factors
We accepted a visual approach to runway XXL at ZZZ1.  While maneuvering at 3000 feet we came near the towers that are north east of the field.  When I realized where we were; I directed the FO to climb to 4000 feet.  While climbing; we received a 'Caution Obstacle' warning from the GPWS.  We had the towers and the runway in sight. After leveling at 4000 feet we joined the final for XXL and landed.[The event was caused] when I saw the field I accepted a visual approach.  I knew about the towers but dropped them out of my cross check when we were cleared to land.This could have been prevented by just taking vectors for the ILS like the [company] page says to do.  I let myself get complacent because I had the field in sight.
Air Carrier Captain reported a GPWS Obstacle warning during approach. Captain applied corrective action and flight landed safely.