We have used sheet vinyl in our coop for the past few years, with no issues. We do cover the floor with wood shavings, to absorb some of the odor and wetness which also makes it easier to pull out the droppings when the coop is cleaned.
Life is a rush into the unknown. You can duck down and hope nothing hits you, or you can stand tall, show it your teeth and say "Dish it up, Baby, and don't skimp on the jalapeƱos."