In a small saucepan over medium heat, melt butter. Whisk in flour and cook until golden, 1 minute, then whisk in pan drippings. (If you have more than a cup of drippings, use it and reduce the amount of broth.)
Bring mixture to a boil, then reduce heat and simmer gently until slightly thickened.
Stir in fresh herbs, then whisk in 1 cup broth and return mixture to a simmer. Season with salt and pepper.
Simmer 10 minutes, gradually adding more broth if gravy is too thick. Adjust seasoning.