McDowell, 44, played for Cleeks GC in 2023. The Northern Irishman finished 42nd in individual points and Cleeks was 10th out of 12 teams.
Only the top 24 individuals and the team captains were guaranteed spots for next season. McDowell's two-year LIV Golf contract had expired.
McDowell, the 2010 U.S. Open champion, won four times on the PGA Tour and 11 times on the European circuit.