This isn't true. The Nazi government worked closely with the owners of industry who were more than willing to comply so long as they retained financial control of their companies--much like the rich today in the US not minding working hand-in-hand with the government.
There were also corporate bailouts like Junkers (the biggest aircraft manufacturer in Germany at the time) being taken over by the government for a period because they were going bankrupt. This is much like the Obama GM / auto industry bailout as one example.
Smaller companies and small business was allowed to continue within government regulations without much other government interference. They were considered important but too small to bother with tightly controlling.
Large companies with management or owners that were buddies with the Nazis got favoritism in the form of more lucrative contracts (like Krupp, Porsche, or Messerschmitt) while those that wouldn't play along (Henkel and Henschel as examples) were often only considered when the favorites couldn't deliver a product.