Legal, illegal, permanent resident, student visa, does not matter.
No foreign spice allowed.
Plain Vanilla U.S. Americans Only.
Certainly not when the parents are in the U.S. illegally.
United States v. Wong Kim Ark at 169 U.S. 662-63:
In United States v. Rhodes (1866), Mr. Justice Swayne, sitting in the Circuit Court, said: "All persons born in the allegiance of the King are natural-born subjects, and all persons born in the allegiance of the United States are natural-born citizens. Birth and allegiance go together. Such is the rule of the common law, and it is the common law of this country, as well as of England. . . . We find no warrant for the opinion that this great principle of the common law has ever been changed in the United States. It has always obtained here with the same vigor, and subject only to the same exceptions, since as before the Revolution."
https://fam.state.gov/FAM/08FAM/08FAM030101.html#M301_1_1
[State Department, Foreign Affairs Manual]
8 FAM 301.1-1 INTRODUCTION
c. Naturalization – Acquisition of U.S. Citizenship Subsequent to Birth: Naturalization is “the conferring of nationality of a State upon a person after birth, by any means whatsoever” (INA 101(a)(23) (8 U.S.C. 1101(a)(23)) or conferring of citizenship upon a person (see INA 310, 8 U.S.C. 1421 and INA 311, 8 U.S.C. 1422). Naturalization can be granted automatically or pursuant to an application. (See 7 FAM 1140.)d. “Subject to the Jurisdiction of the United States”: All children born in and subject, at the time of birth, to the jurisdiction of the United States acquire U.S. citizenship at birth even if their parents were in the United States illegally at the time of birth:
(1) The U.S. Supreme Court examined at length the theories and legal precedents on which the U.S. citizenship laws are based in U.S. v. Wong Kim Ark, 169 U.S. 649 (1898). In particular, the Court discussed the types of persons who are subject to U.S. jurisdiction. The Court affirmed that a child born in the United States to Chinese parents acquired U.S. citizenship even though the parents were, at the time, racially ineligible for naturalization;
(2) The Court also concluded that: “The 14th Amendment affirms the ancient and fundamental rule of citizenship by birth within the territory, in the allegiance and under the protection of the country, including children here born of resident aliens, with the exceptions or qualifications (as old as the rule itself) of children of foreign sovereigns or their ministers, or born on foreign public ships, or of enemies within and during a hostile occupation of part of our territory, and with the single additional exception of children of members of the Indian tribes owing direct allegiance to their several tribes. The Amendment, in clear words and in manifest intent, includes the children born within the territory of the United States, of all other persons, of whatever race or color, domiciled within the United States.” Pursuant to this ruling:
(a) Acquisition of U.S. citizenship generally is not affected by the fact that the parents may be in the United States temporarily or illegally; and that; and
(b) A child born in an immigration detention center physically located in the United States is considered to have been born in the United States and be subject to its jurisdiction. This is so even if the child’s parents have not been legally admitted to the United States and, for immigration purposes, may be viewed as not being in the United States.