You left too many variables out of your wall description for an accurate answer.
What type of siding do you have? Wood? Metal? Vinyl? Other?
Scrap or leftover pieces can used, or even matched through a supplier.
Tin - I think I may have a section that will fit
Is the siding installed on plywood or OSB sheathing, or to the framing?
Sometimes the siding is also the sheathing, like T-111, or corrugated metal & the patch will be attached differently.
It is attached to the framing
Are the walls bare inside, or insulated & finished?
You may want or need to finish off the interior & insulate behind the exterior patch.
Those walls are empty
One last thing, how important is the appearance to you once repaired?
Some people would cover the hole with their kid's Frisbee, caulk it & be content & call it a day.
Its on the backside so I don't have to worry about it 