Los Angeles County Supervisor Mike Antonovich criticized the idea in the wake of last month's beating of a Giants fan.
"They don't need to be offering alcoholic beverages at half price when they can't handle the crowd at full price," he said.
The Giants said they've raised nearly $70,000 to help with Bryan Stow's medical bills. The 42-year-old paramedic remains in a medically induced coma.
Police continue to search for the two suspects.