Glennon reverted to the Dolphins' practice squad Monday, per the NFL's transaction log.
Glennon was elevated to the Dolphins' active roster Saturday.
Miami is signing Glennon to the practice squad Wednesday, Adam Schefter of ESPN reports.
The 49ers worked out Glennon for a potential backup QB role Tuesday, Field Yates of ESPN reports.
Giants head coach Joe Judge said Monday that Glennon is dealing with a left wrist injury that will require season-ending surgery, Paul Schwartz of the New York Post reports.
Glennon completed four of 11 passes for 24 yards and two interceptions in Sunday's 29-3 loss to Chicago. He added 13 yards on one rushing attempt and fumbled four times, losing two.
The Giants are planning to have Glennon start Sunday's game against the Bears, Jordan Raanan of ESPN.com reports.
Glennon and Jake Fromm are both expected to see playing time Sunday against the Bears, Darryl Slater of The Newark Star-Ledger reports.
Glennon entered Sunday's 34-10 loss to the Eagles with 7:48 remaining in the third quarter for an ineffective Jake Fromm and completed 17 of 27 passes for 93 yards with a touchdown and an interception. He also rushed twice for 11 yards.
Glennon is set to move into a backup role Sunday against the Eagles with the Giants set to give Jake Fromm his first NFL start, sources tell Adam Schefter of ESPN.