Considering two popular species for falconry (red-tailed hawk and Harris' hawk) are native to the Americas I'm curious why falconry was never practiced.
Were there taboos against capturing birds of prey? Was there just not a need for using a bird to catch prey? Something else?
Per /u/Searocksandtrees' comment, I wanted to drop a little more information about the practice of keeping tame eagles in Alaska. Yuri Lisyansky was the commanding officer of the Neva, which between 1803 and 1806 participated in the first Russian circumnavigation of the Earth.
Lisyansky (also spelled Lisyanskii or Lisianskii depending on the source) has a fascinating journal that's been posted online. The relevant section for you was written on April 9, 1805:
"The next day I removed to another settlement not far distant, where I was again obliged by the weather to pass the night. In the evening, I was amused by a tame eagle, which flew into the barabara, and at sun-set placed itself by the fireside, as orderly as if it had been one of the family. After warming itself, and deliberately adjusting its feathers, it fell asleep. This bird, they say, is so sagacious that it will recognize at sea the bidarkas belonging to its master, and on seeing them return from fishing, will follow them home. The people of [Kodiak] keep tame eagles for the sake of the feathers, which they use for arrows."
I recall a comment by /u/The_Alaskan that may be worth some follow-up