No, Cessnas and other light general aviation planes are flow to the buyer's country. So when Cessna gets a new order from some guy in France, they load the plane with extra fuel tanks (and all the vents and vanes that comes with it) An HF radio and the pilot is equipped with top-notch survival equipment. The wet suit the pilot use can keep a man alive in the cold Atlantic waters for 6 hours, there is also an inflatable raft equipped with a roof and an ELT (Emergency Location transmitter). All this comes with a pile of documents that certifies the aircraft to fly with an higher gross weight than in normal operations.
After all this is done the plane will fly a northern route, usually taking it up to Labrador or Nunavut (Frosbisher Bay- Iqualuit typically) then the plane will cross into Greenland to land at Sondre Stromfjord (Kangerlussuaq), refuel and go for a flight over Greenland's icecap to Kulusuk which is on the Eastern coast of Greenland. After that a flight over the ocean to reach Keflavik in Iceland, then to either the Faeroe Islands or direct to Scotland. This flight could take anything between a small week to 2 months to complete depending on the weather conditions, which can be unpredictable in that part of the world. The route is typical but sometimes they use other airports.
Sometimes also, if winds are favorable some ferry pilots will choose to go direct.
Then for the return flight, a nice first class airline ticket
Here's a few websites about Atlantic crossings into single engine aircraft http://www.kokomodental.com/North-Atlantic-Crossing.htm
Hope this helps