If this rule is still in effect.....here if there was a "wild" animal anywhere (in street OR your property) Animal Care would come pick it up. If a "domesticated" animal (I presume dog or cat) they would come get it only if it was on public (not private) property. I heard about some people who would have a pet die, and then drag it out to street, as if it was hit by a car, so city would pick it up. That may have changed, though. I haven't heard in years.