I've seen the process to purchase a place in both France and California. The former can take the significant part of a year, the later a matter of days.

Not any, only old buildings built after a certain date. And two month to sell a building in France? It's fast.

They always take two months at the very minimum as well because buyers as to go to many banks or a loan broker. You have notaries involved and right to step away from a sale, no question asked for 10 days iirc.

2 months would be an ultra fast completion in the UK. I think when I bought my house it took 3 months, when I bought some land, cash purchase, it took more like 6 months.

From the experience of a few friends who've bought appartments these last years, two months would be the minimum here in France.