On November 12, 2018, Ojeda announced his candidacy for President of the United States in the 2020 election.[4] Ojeda was the second office-holding Democrat to announce a campaign for the 2020 U.S. presidential election, the first being Maryland Rep. John Delaney.[5] As no current state legislator has ever made a serious bid for the presidency, Ojeda was considered a "longshot" and "underdog" candidate.[6][7] On January 26, 2019, Ojeda withdrew from the election.[8]
In 2023, Ojeda formed "Turn Left PAC" which initially attacked West Virginia Senator Joe Manchin as a "traitor." Although public filings show the PAC has raised minimal funds,[11] in 2024 Ojeda used it to publicly accuse members of Congress who favor American support for Israel's defense as being "corrupt politicians [who] line their pockets with blood money" from the American Israel Public Affairs Committee.