Add the butter to a saucepan over medium-high heat. Immediately after the butter has melted, sprinkle with the flour and whisk to combine. Allow to cook and whisk constantly for about 2 minutes. Do not allow the mixture to burn, reducing the heat to medium if necessary.
Begin adding the chicken broth a splash at a time (about a 1/4 cup), whisking well after each addition. Once the mixture begins to resemble a pudding-like texture, you may begin streaming the remaining broth in slowly, whisking all the while.
Once all of the broth has been incorporated, whisk in the salt and pepper. Raise the heat to medium-high, and allow the gravy to simmer for about 5-7 minutes, until thickened.
You can make the gravy 1-2 days in advance! Simply make the gravy as directed, allow to cool, transfer to an airtight container and refrigerate.
Just before you intend to serve the gravy, microwave at 1-minute intervals until heated through.
If the gravy is too thick, add room temperature, unsalted chicken broth 1 tablespoon at a time to the gravy, whisking after each addition, until desired consistency is reached.
The Anthony Kitchen