In a saucepan over medium heat, whisk together the chicken drippings and flour until smooth. Cook for 1-2 minutes, stirring constantly, to form a roux.
Gradually whisk in the chicken broth until fully incorporated and smooth. Bring the mixture to a simmer.
Reduce heat to low and simmer for 5-10 minutes, stirring occasionally, until the gravy has thickened to your desired consistency.
Season with salt and pepper to taste.
Serve hot.
Notes
This gravy is best made with the drippings from a roasted chicken for the deepest flavor.