I can't find any simple C source file or library to parse geojson files (implementing rfc7946 standard).
Maybe such parsers exist in projects like GRASS or GDAL? But I still have a little trouble navigating the world of C libraries.
Some tracks ?
GeoJSON is in JSON format, so you can use JSON parsers. There are several out there:
https://github.com/search?l=C&q=json+parser&type=Repositories
You should add checks and other stuff yourself.
If you need a certain representation of data, you can write it yourself. Mapbox wrote a C++ version of GeoJSON parser for converting GeoJSON into geometry.hpp representation based on RapidJSON in less than 1k lines of code.
A standard-compliant (RFC 7946) implementation of GeoJSON in C can be found inside SpatiaLite, but may be it's easier for you to use typical JSON parsers instead. You can take a look in virtualgeojson.c if you want to use this library.