Michelin Pilot Sport Cup 2. I have to move the car. I can't leave it on the parking lot.

Doubtful that they will crack. Maybe if you stress them to the extreme, which you wouldn't do in those temps anyway...

As I wrote above, one way or the other, I have to get the car from the parking lot. Either I drive it or push it. If I drive it it will be at idle speed so I don't think it will stress the tires more than when pushing the car.

Will the tires have been soaking the cold temp? That is where if they are cold they could crack. Even just rolling from what I understand. The story I had heard about the Cup 2's was with regards to the pre-production 918. It had sat overnight in a trailer in cold weather, in the single digits I believe, and all they did was roll it off the trailer and they had to replace the tires because they cracked. This came from the gentleman who followed the car around the country, it was a first hand description. So be careful. You do have to move it, just pay attention to the tires afterwards. I drove mine in freezing weather, right around 32 degrees with no issues, it never soaked the cold less than 40 degrees though. Did spin the rear wheels in the snow though, not much grip there!

This is what Michelin says on their website:
• Do Not use, store or handle MICHELIN Pilot Sport Cup 2 tyres at ambient temperatures below -10°C (14°F)
• Under these conditions the tyre components can degrade, resulting in reduced performance, and at low temperatures can lead to cracks in the tyre compound and hence reduce potential in use

So I just have to keep my fingers crossed and hope that they will survive. The temperature while on the trailer will (according to the forecast) be slowly falling, starting at 32F and reach the lowest temp of 14F for a couple of hours. When they deliver it will be about 16F.

You'll probably be ok. Enjoy the car after delivery as much as you can with the cold weather. It's a great car.

If it's worrying you, and you have the time, I suggest this: when it arrives, start the car up in the trailer (with the doors open, obviously) and let it warm up for 10 minutes. You can un-strap the car etc. while this is occurring. Then turn off the car and seal up the trailer. Wait 30 minutes. The temperature inside the trailer will rise markedly from the heat coming off the cooling engine, warming the tires in the process. Then, deploy the ramp and drive the car off and over to your garage in the normal fashion.

Source: I have used to use the residual heat from a warmed-up car to heat the garage I was working in. Works quite well, even for a 2-car garage, for 1-2 hours.

But I must say that it's strange that the dealer, which is an official Porsche dealer, never mentioned this issue. I mean, it's winter and both him and me know that the temp can fall below -14F at times. And there's no way for me now to cancel the transport since it's weekend and I only have the phone number to the office of the transporter.

I would if I could. It's a multi-car trailer and I believe it's open. One like these https://goo.gl/images/MmjkQh And even if it was closed it would be quite large inside so heating it up would take a long time. Regardless, I do not think that the driver would be amused since he probably has a lot of other cars to deliver along the route up to the northern parts.