It's not propaganda or a myth. Norway mostly only allows in skilled labor immigration, thus they have tight immigration policies. I didn't say they allow zero immigration.
Norway also went out of its way to avoid the very large immigration influx that eg Sweden allowed. They have a careful, rigid immigration approach (for obvious reasons, they'd be flooded instantly by immigration if they allowed it). Their immigration for 2017 was the lowest number for the last decade and it has been declining persistently since 2011. They're locking things down.
The US doesn't use a merit or equivalent based immigration system, as most developed countries do, including Norway and other nations such as Canada or Australia. That means if you are a low skill or low wage worker, you can actually get into the US. It's one of the few developed nations that allows such a thing.
Edit for trhway's comment below (I'm throttled on my replies):
I said nothing about absolute figures, I'm aware of the population difference between the two. One would naturally adjust what a 'large influx' means based on the population figures per country.
Show me the vast count of refugees that Norway took in versus Sweden. In just 4-5 years, Sweden took in 600,000 people, many of them from countries like Syria. While Sweden was doing that, Norway remained locked down by comparison (as did Finland).
Norway's very tight immigration policies would never allow that mass influx of refugees to happen. I don't necessarily blame them, they have an extraordinary situation for themselves. They're not interested in flooding their country with low wage / low skill persons that would dilute their very wealthy welfare state heavily through cost addition (without the off-setting tax base gain you get from skilled immigration). It's a cultural choice. Sweden is now seeing blow-back from the choices they made, in the rise of anti-immigration far right political parties there and a rejection of their former immigration policies.
Norway is one of the most desirable countries on earth to live. It has one of the highest standards of living. Its people are among the richest that have ever existed in history. You know why they aren't drowning in immigration? That's their tight immigration policies in action. Otherwise, it'd be a million people a year pouring in.