Is Freud taught in American universities?

Yes, but not (or, not much) in psychology departments! Some excerpts:

Psychoanalysis and its ideas about the unconscious mind have spread to every nook and cranny of the culture from Salinger to “South Park,” from Fellini to foreign policy. Yet if you want to learn about psychoanalysis at the nation’s top universities, one of the last places to look may be the psychology department. ...

[A recent study by the American Psychoanalytic Association] ... is the latest evidence of the field’s existential crisis. For decades now, critics engaged in the Freud Wars have pummeled the good doctor’s theories for being sexist, fraudulent, unscientific, or just plain wrong. In their eyes, psychoanalysis belongs with discarded practices like leeching.

Alice Eagly, the chairwoman of the psychology department at Northwestern University, explained why: Psychoanalysis is “not the mainstream anymore” and so “we give it less weight.”

The primary reason it became marginalized, Ms. Eagly, said, is that while most disciplines in psychology began putting greater emphasis on testing the validity of their approaches scientifically, “psychoanalysts haven’t developed the same evidence-based grounding.” As a result, most psychology departments don’t pay as much attention to psychoanalysis. ...