The H1B visa requires employer sponsorship. U.S. Employers must file a petition on behalf of the foreign worker. It sounds like either he’s arguing for reducing the cap on these, which, as of right now, is set at 85,000 visas per fiscal year (65,000 for regular applicants, 20,000 for those with a U.S. Masters’ degree or higher), or introducing reforms. There is already a requirement that employers must pay H-1B workers the prevailing wage or the actual wage paid to similarly employed workers, whichever is higher. Employers must also ensure that hiring H-1B workers does not adversely affect the working conditions or wages of U.S. workers. Cuccinelli does not elaborate on what “transformed into an elite program” looks like.

Full contextual analysis of Section 2.2: Department of Homeland Security here.