No impact on the watch in the long term. The only circumstances where the temperature will impact the watch is with the accuracy or timekeeping and only if you aren't keeping it warm by wearing it. A few years ago, I was wearing a quartz watch outside my snow parka because I didn't want to pull back my cuffs to check the time. It was bitterly cold at lest -20. After I got back inside, I found the watch was off by 10 minutes. However, once I reset the watch and I wore it on my wrist, the quartz accuracy returned.
Even though nowadays it's colder down south, I have lived and worked in Alaska most of my life and the only watches that failed me outdoors were Liquid Crystal Display. My outdoor auto of choice is the Seiko 007.
You'll know when you wear it. Once it's on though, you're likely to keep it warm enough cold won't matter. Odds are its fine as I suspect the cargo hold of a plane at >30,000 feet is colder than the UPS truck or the, at most, 8 hours or so buried in packaging and box with the cardboard keeping the wind away.
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