Eligwe was waived by the Raiders on Monday.
Eligwe elected to opt out of the 2020 season Tuesday, Tom Pelissero of NFL Network reports.
Eligwe signed with Oakland on Thursday.
Eligwe signed with the Titans on Saturday, Jim Wyatt of the team's official site reports.
Eligwe was waived by the Giants on Monday.
Eligwe (foot) totaled three tackles (all solo) while playing 24 defensive and five special teams snaps in Friday's preseason game against the Falcons.
Eligwe did not participate in Monday's practice due to a foot strain, Matt McMullen of Chiefs.com reports.