simple pointer arithmetic

I have a question regarding pointers. Let's say I pass a character array through a function parameter as a constant pointer as such:

Code:

void main(void)
{
      char disk[10];
      // some code until
      usart_str_write(disk);

      // some more code
}

void usart_str_write(const char* string)
{
     while (*string != "\0")
     {
           Usart_Write(*string);
           string++;
     }
}

given function declaration

Code:

char Usart_Write(char data);

In usart_str_write, should I do anything to make the pointer *string derefence back to the initial character, although I won't be doing any more tasks with it?

Thanks.

It's perfectly fine to leave the pointer pointing to absolutely anything you like when exiting the function as the pointer goes out of scope and then will simply cease to exist.