Getting rid of parking spaces just creates frustration among commuters unless you provide real practical alternatives to driving — dedicated bike lanes; proper public transport that has enough seats, runs frequently and on time, and arrives close to where people are going; and/or formal car pooling.
Bicycles aren’t practical for everyone. Public transport that requires passengers to stand for 20 minutes or more while crammed in like sardines; or public transport that runs every half-hour or more, isn’t useful — it actually discourages use of public transport. The only car pooling that I’ve seen work is when it’s organised within large companies so that people are going to the same destination and have something in common to talk about on the ride.
Waving a magic wand and canceling car parks is most definitely not useful unless proper alternatives are available.
Edit: Also, the plural of “minimum” is “minima“.