Currently there are 21 native Telephoto Zoom lenses for Panasonic GH5 and all of these lenses are autofocus (AF) type.
GH5 also has a sensor based image stabilization system which means that all of these lenses will be stabilized when used on GH5.
Since Panasonic GH5 has environmental sealings (Weather Sealing), you may like to couple your camera with one of these 10 Telephoto Zoom lenses with Weather Sealings.