Currently there are 5 native Standard Zoom lenses for Nikon Z5 and all of these lenses are autofocus (AF) type.
Z5 also has a sensor based image stabilization system which means that all of these lenses will be stabilized when used on Z5.
Since Nikon Z5 has environmental sealings (Weather Sealing), you may like to couple your camera with one of these 4 Standard Zoom lenses with Weather Sealings.