There is metered street parking by the courthouse
A multitude of managed lots on every block - better still, take the Metro
There is limited metered parking in the area, several independent parking garages on just about every adjacent block and Carmine's does offer valet parking. But, your best option for any destination downtown is to take the metro. Both the Verizon Center/Chinatown and Archives/Navy Memorial metro stops are within two blocks of the restaurant and the 70/74 bus stops in front of it as well.
Best answer is to take the metro. But there is parking garage behind the restaurant that has an elevator that takes you directly up to Carmine's lobby. Get the chicken marsala, outstanding!
The metro is so easy and widespread. Better to take it if you can
Check out the app SpotHero, find the cheapest one close to it and book it.
There are garages and some street parking but the metro is easier and cheaper
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