Your link does not give the immigration matriculation date of his parents at all. And you fail to cite '... to US citizen parents' because they seem to have no matriculation date. It's possible they are US citizens, but I've searched for 1/2 hour without finding it. Maybe you can supply their dates of US citizenship martriculation.
That's because the immigration status of his parents is irrelevant.
Explain to me how Kamala Harris was able to run for VP when the same language applies. Both her parents were immigrants and she was born in California.
In 2016, then Louisiana Governor, Bobby Jindal, ran for president in the GOP primary and both his parents were immigrants and he was born in Louisiana.
In order to run for office, one MUST meet the Constitutional requirements. The eligibility of the above individuals to run for President of the US has never been questioned since they met the "Natural Born Citizen of the United States" requirement.