If anyone please can advise me. I want to read a Jewish novel that criticizes or relates to American culture.
Four Jewish authors who come to mind are Bernard Malamud, Philip Roth, Saul Bellow, and Henry Roth. Henry Roth was working on a multi-volume novel titled Mercy of a Rude Stream when he died of old age. I suggest you refer to the enotes Study Guide for his novel A Diving Rock on the Hudson which is one volume of the multi-volume autobiographical novel Mercy of a Rude Stream. A Diving Rock on the Hudsondeals with Roth's teenage years.
In a lighter vein, you might like Philip Roth's Portnoy's Complaint and Goodbye, Columbus.
One of Bernard Malamud's most acclaimed novels is The Fixer, which won the Pulitzer Prize in 1967. He was an excellent short story writer as well as a novelist.
Saul Bellow is a famous Jewish-American writer. He won the Nobel Prize in Literature. His best-known novels include The Adventures of Augie March and Henderson the Rain King. His plots are most unusual.
All of these authors are covered in enotes. I suggest you read about them in order to choose the author and novel that seems most compatible with your current interests. I personally was most favorably impressed by Henry Roth, whose first novel Call It Sleep was published way back in 1934. He is the least well-known of the authors I have mentioned but the most like Tolstoy, Proust, and other famous writers of earlier times in possessing the "high seriousness" which Matthew Arnold said distinguishes all great literature.