The USA has several varieties of squirrels, and some other similar critters from the family of furry rodents. Gray squirrels (which I think is in this picture) are very common across the USA.
They are cute and fun to watch, until they get into your home. Yes, squirrels are known to infest homes and have to be removed by an exterminator. We had a pair start a family in a past home. We first heard the scratching in the walls and ceiling, then an odor. We found a nest in the attic, and several holes in the fascia boards at the roof line. Not so amazing or nice to have to get rid of them.
Oh, and like other rodents, they are prone to carrying diseases, especially rabies. You should never try to pick up a squirrel or try to feed one, because of the diseases they carry.