Transportation Assistance for Olympic Cities Act of 2022 This bill authorizes through FY2034 the Department of Transportation (DOT) to prioritize providing grants for surface transportation projects relating to international Olympic, Paralympic, and Special Olympics events, including for temporary facilities, equipment, operations, and maintenance that meet the extraordinary needs associated with hosting such events. DOT must take all reasonable efforts to provide assistance for such events, including by developing intermodal transportation plans and expediting federal review of requests with regards to the events. Authority under the bill to provide grants and assistance terminates on September 30, 2034.