The official name of Adolf Hitler’s party was the Nationalsozialitsche Deutsche Arbeiterpartei. This translates to the National Socialist German Worker’s Party. The phrase “Nazi” comes from the German pronunciation of the first syllables of Nationalsozilitsche.
Scholars typically categorize the Nazi Party as a far-right party. However, socialism is itself a far-left policy. Hitler didn’t like the “socialism” term. The Nazis regularly attacked both the right and the left, a methodology now termed as syncretic or fascism, as it was called back then.
The far right ideal of pure capitalism is just as offensive as socialism/communism at the far left. This leaves the middle ground and a “Worker’s Party” of skilled, dedicated individuals working for the good of all.
Most people associate Nazi with “National Socialism” and socialism per se. The Nazi ideal was not that at all. It minimized the attributes at both ends of the spectrum. Capitalist materialism was hated almost as much as collective Marxism (what we now call socialism). One concentrates money and power in a ruling class of elites, and the other is a complete abnegation of individualism and personal responsibility.
Thus, the Nazi Party does not support socialism in any way, shape or form.