That's strange. The driving school taught me how to parrallel
park on the left instead of the right when I was a learner driver
over 10 years ago.
Parallel parking on the left is almost an 'exact science'; follow
the procedure below which I was taught by the school and you'll get
into a normal sized lot first time every time.
The procedure is roughly as follows:
Reverse parallel to the line of parked cars until the edge of the
front car reaches the back of your car's rear window, turn your
steering wheel full until the inner corner of the parking lot is
aligned to your outer wing mirror. Reverse until your inner wing
mirror clears the edge of the front car whereby you turn your
steering wheel back and you're in the lot.
I realise the above instructions are too cryptic to be of use to
the uninitiated; it merely shows you how mechanical the process can
be for those who have less than perfect judgement or spatial
abilities. It's best you get someone to demonstrate it to
you.