Rockstar Games has detailed the storage requirements for the Switch version of L.A. Noire.
Physical / Cartridge Installation
If using the physical cartridge version of L.A. Noire, the game will require a 14 GB digital download containing required gameplay data as well as general bug fixes and improvements. This file can be downloaded to either the Nintendo Switch console’s internal storage or a microSD card (sold separately).
Digital / eShop Installation
The Nintendo eShop digital version of L.A. Noire, including all bug fixes and improvements, requires 29 GB of available storage. Because this exceeds the available internal storage on the console, the eShop version of the game must be installed to a microSD card (sold separately) that is inserted prior beginning the download.
LA Noire will release on November 14 for PlayStation 4, Xbox One, and Switch. It is currently available on PlayStation 3 and Xbox 360.
Source: God is Geek