American Energy Independence Act of 2022 This bill addresses U.S. energy independence, the production and importation of oil and natural gas, and the rescission of specified environmental requirements. Specifically, the bill directs the President to develop a plan for the United States to achieve energy independence by 2024. The Department of Energy (DOE) must also develop a program and issue rules to ensure that the United States achieves such energy independence and becomes a net exporter of energy. The bill also addresses energy pipelines, including by approving the TransCanada Keystone Pipeline in Phillips County, Montana for the import of oil from Canada to the United States. It also provides for energy production, including by requiring regulations to be issued by DOE to reduce requirements on entities harvesting energy through hydraulic fracturing, the Department of Transportation to promote stable and affordable gasoline and diesel prices, and the Department of the Interior to promote the leasing of federal land for oil and natural gas production. In addition, the Environmental Protection Agency (EPA) must identify and repeal certain regulations that substantially reduce energy independence. Further, the bill prohibits the use of any funds to implement the Paris Agreement on climate change. Finally, the bill rescinds (1) Executive Order 14008 about tackling climate change, (2) the 2021 proposed rule issued by the EPA and the U.S. Army Corps of Engineers about the scope of the Clean Water Act, and (3) the 2021 proposed rule issued by the EPA about methane gas emissions.