I moved from the USA to France and your statement surprised me. Looking around for some data, I'm seeing around 4,600 French nationals who obtained U.S. permanent resident status compared to 13,000 issued to U.S. citizens by France. So about 3x more US -> France and rising.
https://schengenvisainfo.com/news/number-of-americans-moving... https://www.tresor.economie.gouv.fr/Articles/8c273940-72b7-4...