In case of victory, did they intent the US and Canada to become a colony of Germany and on taking cities like New York and Boston under Nazi rule.

This happens in the man in the high castle, but we’re these the intentions of Hitler during WWII? Had they won, did they have the resources to enforce their rule thousands of miles apart thru the Atlantic? Or did they just want Europe and colonies in Africa? Did they actually want to colonize the US? Or just keep it independent and have some sort of cold “Cold War” between the US and Nazi Germany?