The Program in C# Program to Rotate an array (length 3) of integers in left direction is given below:

using System;

namespace ArrayRotation
{
    class Program
    {
        static void Main(string[] args)
        {
            Console.WriteLine("Hello Codeauri Family, Enter the integers below to rotate the array in the left direction: ");
            Console.WriteLine("Well,enter the first integer: ");
            int num1 = Convert.ToInt32(Console.ReadLine());
            Console.WriteLine("Well,enter the second integer: ");
            int num2 = Convert.ToInt32(Console.ReadLine());
            Console.WriteLine("Well,enter the third integer: ");
            int num3 = Convert.ToInt32(Console.ReadLine());

            int[] arr = new int[3] { num1, num2, num3 };
            int temp = arr[0];

            for (int i = 0; i < arr.Length - 1; i++)
            {
                arr[i] = arr[i + 1];
            }

            arr[arr.Length - 1] = temp;

            Console.WriteLine("Okay, after rotating the array in the left direction, the new array is: " + arr[0] + " " + arr[1] + " " + arr[2]);
            Console.ReadLine();
        }
    }
}

Output:

Hello Codeauri Family, Enter the integers below to rotate the array in the left direction: Well,enter the first integer:
123
Well,enter the second integer:
456
Well,enter the third integer:
131
Okay, after rotating the array in the left direction, the new array is: 456 131 123

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Here are the step by step execution of above program:

1. Imports the “System” namespace.
2. Defines a namespace called “ArrayRotation”.
3. Defines a class called “Program” within the “ArrayRotation” namespace.
4. Defines the “Main” method within the “Program” class.
5. Writes a message to the console asking the user to enter three integers.
6. Reads three integers from the console and stores them in variables “num1”, “num2”, and “num3”.
7. Creates an array of integers called “arr” with the elements “num1”, “num2”, and “num3”.
8. Stores the first element of the array in a temporary variable “temp”.
9. Rotates the elements of the array to the left by shifting each element one position to the left and assigning it to the previous position.
10. Assigns the value of the temporary variable “temp” to the last position of the array.
11. Writes the new rotated array to the console.
12. Reads a line from the console to wait for user input.