A method of performing an autonomous parking maneuver of a vehicle begins with a human vehicle operator/driver issuing a command to a parking assistance system that the parking maneuver requires at least one vehicle wheel to encounter a vertical obstruction (such as a curb) undetected by a sensor providing information to the system. In reaction to the command, the paring assistance system entering an operating mode wherein a setpoint speed of the vehicle during the maneuver is increased so that it is better adapted to deal with the vertical obstruction. A brake system condition may also be changed when in the operating mode, such as decreasing a brake disk/pad distance. The command may be issued by a vehicle operator standing outside of the vehicle.