The American winger opened the scoring in the 73rd minute as his side went on to a 2-0 win over Lorient, securing passage to the final 16.
Bedoya found net in the 73rd minute, giving Nantes the lead before Georges-Kevin N'Koudou sealed the result with a 90th-minute insurance goal. With the victory, Nantes advances to the final 16.
It was the second goal in a Nantes uniform for Bedoya, who scored the 87th-minute winner on Mexico goalkeeper Guillermo Ochoa on Oct. 19 as Nantes grabbed a 1-0 triumph against AC Ajaccio.
Bedoya, who started the final three games of World Cup qualifying for the USA, has emerged as a regular starter for Nantes after joining this past summer from Swedish side Helsingborg.