Suffolk County Board of Elections Commissioner Nick LaLota said Mr. Cruz's birthplace or citizenship status was "not germane" to whether or not he would be allowed to appear on the ballot in New York State's primary, which is set for April 19.Per state rules, all a candidate needs in order to earn a spot on the ballot is to be "nationally known," eligible for presidential primary matching funds, or to have filed a petition with 5,000 signatures. Appearing in a debate generally satisfies that first requirement, Mr. LaLota said.