Any issues with transporting/laying down a refrigerator immediately after it's been turned off?

I sold a used refrigerator on ebay and want to demonstrate to the buyer that it's still working as shown in the ad. It's my understanding that if you lay a refrig on its side you're supposed to wait a day before you fire it up to allow the oil to drain back out of the lines into the compressor. Are there any potential issues with laying it down or even transporting it upright immediately after it's been turned off?
Thanks for all info.
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Laying one down is always hard on them. You are correct that the unit would need to stand for 24 hours if you lay it down. There is no change or harm on when you turn it off.
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We bought a new refrigerator at work and the dealer delivered it laying down in his van. He said to wait an hour before turning it on, but it was about a 1/4 mile trip. If it is on its side longer, I'd wait at least a few hours, many recommend 24 hours.
Transporting it upright should be no problem. Unless it is not tied down and it blows over at 70 mph.
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Thanks for the info guys, I didn't know this kind of info about refrigerators.
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