Application servers are more like a Java and Python and OOP thing. But surely there are "object request broker" models that are implemented in C, just can just add the libraries to your C program. You can provide us a little more details about your environment, I use Visual Studio on Windows and the clang compiler and gcc on Linux and SunOS. If you study the Q&A on various programming sites here, like SO that are tagged C programming and application server you will broaden and deepen your knowledge.

There are application servers for C, for example Enduro/X or Tuxedo. Each compiled executable operates as a "server" process which provides services. These platforms monitors them, reboots if crashed and provides load balancing features. Also middleware options are available.