I read this in the late 1990s. A teenage boy in New York is transported (possibly by entering something like an Anderson shelter) to the middle of the woods in what turns out to be medieval Ukraine.
He notices a disturbance in the leaves and begins walking in a circle, the disturbance follows him and this causes the leaves to blow away, revealing a bear stalking him (walking upright) at the bottom of a circular ditch -- the boy has been standing on a hill in the middle of the circle. For some reason the bear goes away when revealed.
Later a girl shows up and helps him across the ditch. He begs her for an article of clothing to cover himself, and she's shocked that he would wear a woman's garment even in such a circumstance, but she lends him her "hoose" (which I think is some sort of scarf).
The girl takes the boy to her village. The villagers deride him for wearing the hoose and also because of how skinny he is -- they call him "stick-man" because he isn't "muscled like Alley Oop" the way the other village men are.
Several legendary Ukrainian figures like Baba Yaga and the Firebird make their appearance -- in fact the boy defeats Baba Yaga (who is given an Elphaba-like backstory but needs to be defeated all the same) and saves the villagers.
The boy is able to travel back to modern New York but has a new appreciation for his Ukrainian heritage and soon moves to Ukraine.