You might be asked to parallel park from the driver side or passenger (conventional) side.
Parallel Parking
Driver side Parallel Parking
You may be asked to park in a parallel parking space that is on your left. You are to drive past the entrance to the parallel parking space with your vehicle parallel to the parking area; and back into the space without crossing front, side or rear boundaries marked by cones. You are required to get your entire vehicle completely into the space.
Passenger (Conventional) side Parallel Parking
You may be asked to park in a parallel parking space that is on your right. You are to drive past the entrance to the parallel parking space with your vehicle parallel to the parking area; and back into the space without crossing front, side or rear boundaries marked by cones. You are required to get your entire vehicle completely into the space.