Brown the butter by heating it in a large saucepan over medium heat. Once the butter has melted, cook for a few minutes until it just starts to darken in color, then add the shallots and cook, stirring often, for 1-2 minutes.
Add the orzo and cook, stirring often, for 2-3 minutes.
Add the chicken broth, bring to a boil, then reduce the heat and cover & simmer for 20-25 minutes. The orzo should be tender, and the liquid absorbed
Add the Parmesan cheese, pine nuts, parsley, and season with sea salt and freshly cracked pepper to taste, then stir until well combined.