A city police team arrested David Uzoma Ubah from his Bengaluru residence following a complaint from the authorities of the hospital.
The 37-year-old man hailed from Olodi in Nigeria.
Ubah created a fake look-alike website of the hospital to give an air of authenticity, a senior police officer of the Kolkata Police said.
He then posted advertisements asking for kidney donations stating that donors would be compensated by the hospital itself.
The Nigerian was being brought here on transit remand following his arrest in Bengaluru on Tuesday.