No the United States of America does not have any monarch/ monarchy.
The US has no monarch. The elected President is the head of state and chief executive.
In the US, Queens and Soldiers. Any butterfly that has a scientific name of 'Danaus' is a relative of the Monarch.
The national insect of the US is the monarch butterfly.
The US backed the Shah of Iran who was an authoritarian monarch.
The last time the US had a monarch was on July3, 1776. But before that date, there was no constitution. So the US had a monarch at one time with no constitution, then the US had a constitution but no monarch.
Queen Victoria was on all of the stamps from Great Britain. George Washington was not a monarch, he was a US President. And Benjamin Franklin was on a US stamp very early on.
the Monarch butterfly
Queen Elizabeth II
Mexico, Michoacan
Possibly a Monarch!
The Monarch lives in most of the "lower 48" states of the US. much of Mexico, and several other countries- so they are in thousands of cities. See the link below for a good article on the Monarch- and their migration.
Monarch butterflies and gray whales are two animals that migrate back and forth from Mexico to the US. Monarch butterflies travel to Mexico to escape the cold winter temperatures, while gray whales move to warmer waters for breeding.