I am not certain that Hitler wanted capitalism in any form that we would recognize it as such.
At one point the central planners told shop keepers what to sell, how much they could sell, how much they could pay their workers, who they could sell to, and at what price. If you feel that the Nazi's believed in capitalism merely because they allowed the shop keepers the nominal title of "private owners", and that is the only bar to pass to qualify as capitalism, then I would agree with your statement. Otherwise, I fear that the post war narrative propagated by the Soviets to call the Nazi's capitalists may have been more effective than many give it credit for.
Very early on, the Nazi's started to refer to these "private owners" as merely "managers".
To me these actions appear to be a form of socialism, but I am not a student of economic theory.
We can review a law signed by The Reich Chancellor, Adolf Hitler; The Reich Labor Minister, Franz Seldte; The Reich Economics Minister, Dr. Schmitt; The Reich Minister of Justice, Dr. Gürtner; The Reich Minister of Finance, Count Schwerin von Krosigk; The Reich Minister of the Interior, Frick who in 1934 passed the Arbeitsordnungsgesetz or "Work Order Act".
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Article 1.
§ 1 In the company, the entrepreneur as the leader of the company, the employees and workers as a follower work together to promote the company's purposes and for the common benefit of the people and the state."
Sounds both patriotic and socialist in nature.
Additionally in this law you will find that the government decreed that a number of shop stewards must be elected by the workers of companies who will advise the owner, (who is now called a manager), and together with the owner form the "trust council". This council will convene at the direction of the "manager" or at least half of the "trust council". In the event that the "trust council" votes to do so they can overrule the "manager" decisions."
Interestingly this is the law that people often cite to point out that Hitler disbanded the trade unions. This law does do this, but to state that alone obfuscates that he was also effectively creating his own party controlled unions in every business in the land and subordinating private control of enterprise to state direction with oversight by the workers and Nazi party members at the industrial level. So he effectively rids Germany of all other labor unions that are not controlled by the Nazi party.
I should note that this is not my area of amateur study or even remotely within my area of interest. My interest ends at only attempting to understand the economic situation in Germany as it pertains to the impact on the logistics of the war effort or the effectiveness of allied interdiction on war production. (a very hot debate even today 76 years later)
So, I'll provide an article that I found to be instructive, and hope that he does a better job of explaining it than I can hope to do. Perhaps we can convince some Hide member with a background in law, finance and economic theory to review this and offer a constructive critical commentary.
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http://www.documentarchiv.de/ns/nat-arbeit.html" <- Text of the above referenced law, also attached below.