How to pass parameter to static class constructor?

Don't use a static constructor, but a static initialization method:

public class A
{
    private static string ParamA { get; set; }

    public static void Init(string paramA)
    {
        ParamA = paramA;
    }
}

In C#, static constructors are parameterless, and there're few approaches to overcome this limitation. One is what I've suggested you above.

As per MSDN, A static constructor is called automatically to initialize the class before the first instance is created. Therefore you can't send any parameters.

CLR must call a static constructor, how will it know which parameters to pass it?

So don't use a static constructor.

Here's the work around for your requirement.

public class StaticClass 
{ 
  private int bar; 
  private static StaticClass _foo;

  private StaticClass() {}

  static StaticClass Create(int initialBar) 
  { 
    _foo = new StaticClass();
    _foo.bar = initialBar; 
    return _foo;
  } 
}

Static constructors have the following properties:

• A static constructor does not take access modifiers or have parameters. A static constructor is called automatically to initialize the class before the first instance is created or any static members are referenced.
• A static constructor cannot be called directly.
• The user has no control on when the static constructor is executed in the program.
• A typical use of static constructors is when the class is using a log file and the constructor is used to write entries to this file.
• Static constructors are also useful when creating wrapper classes for unmanaged code, when the constructor can call the LoadLibrary method.
• If a static constructor throws an exception, the runtime will not invoke it a second time, and the type will remain uninitialized for the lifetime of the application domain in which your program is running.