Parallel parking at the curb provides some important and useful things:

• Slower traffic.
• A formidable barrier between passing cars and people walking on the sidewalk, so walking feels safer.
• Parking spaces located close to where people are actually going.
• Parking spaces without any additional circulation lanes (and additional impervious surface).
• Greater flexibility for building on private parcels.

So if you want to build in a place that does not allow parallel parking on a public street and requires way too many off-street parking spaces on the private parcel, it is usually worth the hassle to ask for a variance or exception to the rules that are on the books.  Sometimes this decision is made by a municipal staffer like a Zoning Examiner or Planning Director.  Sometimes special permission for something really obvious, (like a better parking arrangement) will require the approval of the Planning Commission or even the City Council.

If you are asking for on-street parking or a reduction in off-street parking It is important to make that ask in the context of a thoughtful project .  When you show the amount of on-street parking being provided, the reduction in the number of off-street spaces seems like housekeeping item and not a big deal exception or some completely exotic one-off variance.

Just to be clear , (since it is often all about how you ask), don't just ask for a reduction in something that is on the books as a black and white requirement that everyone is supposed to follow. Show the reviewer, commission, or council the whole project and ask for the reduction as part of that larger conversation. When you demonstrate that you are doing more, doing better than a lot of what they are reviewing, relief from a number in the zoning code seems like a minor accommodation needed to get to a good outcome.