The White House Briefing, President's Proclamation and an estimate by Centers for Disease Control and Prevention supports the claim.
During the pandemic, Centres for Disease Control and Prevention provided estimates from 12 April 2009, to 10 April 2010, where 12,469 deaths occurred in the United States due to H1N1. As a result of the epidemic, the U.S Secretary of Health and Human Services first declared a public health emergency on April 26, 2009, and President Barack Obama upped that to a national emergency in late October of 2009.
The COVID-19 pandemic has given rise to a lot of potentially dangerous misinformation. For reliable advice on COVID-19 including symptoms, prevention and available treatment, please refer to the World Health Organisation or your national healthcare authority.