That said the hole is the least of your effort.
Hole in vinyl siding attic.
There are several ways to repair damaged vinyl siding depending on the extent of the damage.
Holes an inch or two across or long narrow holes that still appear patchable require removing the damaged piece of vinyl to fix it.
When we cut with a circular saw we often install the blade backwards to minimize ripping and tearing of the vinyl.
Allow it to completely dry then use a razor scraper to cut the excess caulk flush with the outside of the siding.
Cut a scrap piece of siding to a length that is several inches longer than the hole.
Squirt a generous dollop of exterior caulking that matches the color of the siding into the hole.
You need to be sure the weather stripping and siding itself is properly done to keep the siding water tight.
Cover the hole from the back side with foil tape then put the siding back where it belongs.
This patch will keep the rain.
A hole saw tin snips etc will slice right through it.
A siding zip tool pops the piece off from the bottom edge.