I am posting my answer without having yet read anyone else’s answer, so forgive me if I repeat anyone’s picks.
The Namesake by Jhumpa Lahiri
China Boy by Gus Lee
Paper Daughter by Elaine Mar
A Gesture Life by Chang-rae Lee
The Foreign Student by Susan Choi
Here is a site dedicated to the 50 Greatest Works of Immigration Literature I haven’t perused the whole site, so not sure if any of them are actual novels.
Here is a list on Amazon of Immigration Novels
And here is another list about immigration novels from the Billington Library I haven’t checked it out so I don’t know if there are any about coming to America.
And here is a list of authors by PBS that are specifically about coming to the US.
Hopefully you can find something amongst this pile. : )