MAKE A ROUX: In a small saucepan, melt the butter over medium heat. Sprinkle in the flour and whisk the mixture until it’s smooth.
ADD THE BROTH: Slowly pour in the broth while whisking to avoid the mixture from getting lumpy. Bring the mixture to a very low simmer and continue whisking until the gravy has thickened. Add additional salt and pepper to taste and transfer to a serving dish.