Check that the brake lights work. The neutral park solenoid needs to see an input from the brake light switch before it allows the transmission to be taken out of park. If the brake lights don't work check the switch and fuses. If not the solenoid that allows the shift linkage out of park may have failed. Nearly every car has a mechanical override to allow the transmission to be shifted out of Park.
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Recently we had this exact same problem. The cheapest way out was to have the mechanism that prevents you from shifting out of park removed. If you choose this option be sure to set the emergency brake when you park to avoid accidentally shifting the car out of park, since the gearshift will then be very sensitive to touch.