Following a low-sodium diet doesn't have to mean avoiding one of the most popular guilty pleasures: cheese. Yes, cheese. It's full of protein and calcium, and we love it on our pizza and burgers. While not all cheeses can be considered low-sodium foods -- in fact, most aren't -- some types come close. One slice (1 ounce or 28 grams) of American cheese can contain upward of 400 mg of sodium, and that's definitely not a low-sodium food. But an ounce of cheddar cheese contains about 175 mg of sodium, and an ounce (28 grams) of Swiss cheese contains about 75 mg, making both relatively friendly to a low-sodium diet.