To some extent, Blitzkrieg was a dogma forced on the Germans. Hitler knew that Germany's position in Europe and it's economic state required quick easy victories. A prolonged war was bound to result in German defeat, as surely as it had in the Great War. The Blitzkrieg concept only worked, however, against an enemy that was either outclassed technologically (like Poland who had few tanks) or emotionally (like France, who, after the slaughter of WW1 on the whole thought defensively).
America & Russia learned quickly. Russia matched the Wehrmacht's equipment, with tanks like the T34 & JS series. America just out produced Germany with overwhelming superiority of numbers. They also quickly assimilated the concept of the all arms combat team, the American Combat Command in Armoured divisions corresponding to the Kampfgruppe. This was something we British were somewhat slow to learn.
From the German view, America fought a rich man's war, one of material against men. The idea of carpet bombing areas of resistance was alien to German thinking, which expected the infantry to solve their own problems. But it worked for the Allies because they could afford it.
By 1944, the Germans had lost the air superiority they needed for their tactics to work. However the average German Landser continued to fight well. Post war American analysis discovered that man for man, the Germans inflicted casualities at the rate of one and a half to one as against those they suffered.
However, much of the Blitzkrieg concept quickly became out of date. As with naval warfare, it quickly became obvious that the aeroplane had become highly significant on the battlefield, and the bazooka type concepts gave the infantryman an edge against armour.
"Lord Raglan wishes the cavalry to advance rapidly to the front, follow the enemy, and try to prevent the enemy carrying away the guns. Troops of Horse Artillery may accompany. French cavalry is on your left. Immediate. Airey."