There is really nothing you can do to protect it, aside from keeping it in the shade. It's not so much the heat of the day, though. From what I've seen, it is hot evening temperatures that kill it off slowly. Wrapping the pot in foil would lag the heat accumulated in the pot during the day into the evening hours, so you might not want to do that...A white cloth, like a T-shirt, wetted down and covering the pot during the heat of the day would work better. Remove the cloth at dusk to allow heat out.
FWIW, I tried all of that when I had my Japanese larch. It still faded away and died over a four year period. The summers were just too hot for it here in Northern Va.
The species (which is usually called larix Kaempferi--the leptolepis name is outdated, I think) grows in higher altitudes in Japan that are much cooler than anything in Zone 9. Nurseries sell what sells. Novelty is a seller in some cases, which could be why the place had one for sale.