The only time a Citizen could become president was ONLY at the time of the adoption of the Constitution until a second generation natural born Citizen was old enough to meet the qualification age requirement and residency specs. That is why the first few presidents ‘grandfathered themselves in as eligible ‘Citizens’ (not natural born Citizens). Cruz as statutory naturalized by federal law as a U.S. citizen. He has a foreign sovereign father and was born in a foreign sovereignty. He IS NOT eligible.
“That is why the first few presidents grandfathered themselves in as eligible Citizens (not natural born Citizens).”
No.
“1473. It is indispensable, too, that the president should be a natural born citizen of the United States; or a citizen at the adoption of the constitution, and for fourteen years before his election. This permission of a naturalized citizen to become president is an exception from the great fundamental policy of all governments, to exclude foreign influence from their executive councils and duties. It was doubtless introduced (for it has now become by lapse of time merely nominal, and will soon become wholly extinct) out of respect to those distinguished revolutionary patriots, who were born in a foreign land, and yet had entitled themselves to high honours in their adopted country. A positive exclusion of them from the office would have been unjust to their merits, and painful to their sensibilities. But the general propriety of the exclusion of foreigners, in common cases, will scarcely be doubted by any sound statesman.”
Joseph Story, Commentaries on the Constitution 3:§§ 1472—73
http://press-pubs.uchicago.edu/founders/documents/a2_1_5s2.html
“Joseph Story (September 18, 1779 September 10, 1845) was an American lawyer and jurist who served on the Supreme Court of the United States from 1811 to 1845. He is most remembered for his opinions in Martin v. Hunter’s Lessee and The Amistad, and especially for his magisterial Commentaries on the Constitution of the United States, first published in 1833. Dominating the field in the 19th century, this work is a cornerstone of early American jurisprudence. It is the first comprehensive treatise on the provisions of the U.S. Constitution and remains a critical source of historical information about the forming of the American republic and the early struggles to define its law.”
https://en.wikipedia.org/wiki/Joseph_Story