Just about finished reading it, seems like the writing was on the wall for future events. Interested to know if they read it leading to any changes in their own forces or if they stuck with their own doctrines etc.
Yes, to the first question, and not really to the second.
In the interwar period, every nation was paying attention to what every other nation was doing. As a result, the German experiments with Panzer divisions were well known to those who were interested in paying attention.
Achtung! Panzer! was not anything new. It was in effect a book commissioned by Lutz, the head of Panzer Troops to be a clear and simple education to the rest of the German Army as to what this Panzertruppen business was all about. To write it, Guderian, Lutz’s former deputy, who at that point had moved from the Inspectorate of Panzer Troops to command a division and was kindof busy doing that, merely dug into his archive for articles and talks he had put out in the past, and used that as the core of his book as a form of low-hanging fruit. Further, the proposed usage of Panzer troops was merely a more modern implementation of Bewegungskrieg, the standard German doctrine for most of the previous century. As such, French doctrine, at least, was written with Germany in mind. The French were worried about the “attaque brusque”, the rapid attack, but that was a concern long before Guderian’s book, it was just the way the Germans were expected to fight.
Ultimately, all the major powers created their doctrines with their own legitimate and sensible strategic and operational requiremens in mind, and they were only influenced by the Germans incidentally, and no more than by the French or the British, for example.
I have done a series of deep dives into the various countries here. Check the playlist on the right to pick your favorite country.
https://www.youtube.com/watch?v=pbKAg4SRW_U&list=PLEAEU2gs2Nz9J6rZGPB9MESvCVDwHQ8_c