In a saucepan, melt the butter over medium heat. Then, stir in the flour until combined.
Now, slowly pour in the broth and drippings and stir constantly to avoid lumps until the gravy is thickened and bubbly.
Season with salt and pepper, and then pour in a serving bowl and serve.
Notes
If your gravy is too thin, let it simmer longer to thicken. If it's too thick, thin it out with some water or chicken broth until it reaches the desired consistency.