The manager was in Bangladesh and the owner, reached by phone, told the clerk to accept whatever documents were served.
After the inspections, officials planned to look at whether the cases warrant administrative action or criminal investigations, Benner said.
7-Eleven Stores Inc., based in Irving, Texas, said in a statement that the owners of its franchises are responsible for hiring and verifying work eligibility.
In 2008, agents arrived by helicopter at the Agriprocessors meatpacking plant in Postville, Iowa, and detained nearly 400 workers.
Julie Myers Wood, former head of ICE during the Bush administration, said Wednesday's action showed that immigration officials were focusing their enforcement efforts on a repeat violator.