Freezer in a storage building

We have one of those barn looking storage buildings. It isn’t insulated. Jenny wants a bigger Freezer. We’re wondering if it can go in a storage building. I can insulate it if needed. Didn’t know if heat or freezing would be a problem?

Yes you can run a freezer in ANY building. Friend has had one in an attached,unheasted garage for 40-50 years. Keep it FULL..take food out, replace with bags of ice. Farm has 6-8 chest freezers plus a walkin , all in the unheated section of the barn, zero problems. Just be sure to keep the area clear so hot air from compressor can escape...

Years ago, I used to go with my uncle on refrigeration house calls and I will say this much that I learned from refrigerators and freezers being in unheated areas.
They work fine until the temperature outside drops below the thermostat setting and this causes something weird to happen such that the compressor will kick off the reset; and, when things warm back up, the reset being kicked out, nothing runs and things begin to warm up.
Push the reset button back in and the compressor kicks in and everything okay once again.

That being said, I have had a chest-type freezer outside in one of those Harbor Freight tarp garages for at least fifteen years and it has never had the reset to kick off; but --- I have seen it happen several times so I know it can.
People being people, my uncle would try to explain to these people to just push in the button and no need for him to come out; "I don't know; I would feel better if you came and looked at it; we have our calf in there and would hate to lose it" ; so, he would drag out some rutted gravel road, dry-ford a couple creeks, cut the sidewall out of a recap, get there, investigate the situation, pop in the button and the thing go to working; and these never-miss-a-Sunday people would start back-pedaling when he billed them a service call, not wanting to pay him for something so simple.
Were it up to me, I would have drug out every tool in the truck, had them there holding a shop-light for hours, while I fiddled around in there and made it look like I really had a tough time fixing it, maybe sell them a new timer of something, and fix them a bill that they would not soon forget --- but then, I have had to deal with John Q Public for most of my life and I have acquired a much less forgiving nature on account of it.

I have read about what BuckSkin is saying, and with that said I have a 4yr old plain Jane El-Cheapo upright in my 3 season porch. Up here in the Northland you can here a Chevy cry at night cause it gets so cold (and salty). I have not had that reset problem but I'm aware of it. I keep a temp monitor with lithium batteries in it and the receiver alarm for it just in case.

Ive had a freezer in my barn for 20 years a freezer in un heated area is no problem a refrigerator will freeze up when it getsto cold my fridge had to be unplugged when the barn got down to freezing id unplug and it would reset when i pluged in next spring it worked every time. The fridge is now in the heated shop and works all year.