Although usually the "rule" is white with fish and poultry, and red with red meats, with a chicken casserole, it would really depend on the recipe.
If it is robust, strong tasting recipe, made with red wine, like a coq-au-vin, then you could well be better off with a lighter red as a white will be drowned out, maybe a merlot.
If the recipe is a lighter more delicate sauce, maybe made with white wine, then stick with white wine to drink, maybe a white burgundy, or even a german reisling.
Hope that helps a bit!