The Falcons released Rush on Thursday, D. Orlando Ledbetter of The Atlanta Journal-Constitution reports.
Rush signed a one-year contract with Atlanta on Thursday.
Rush was elevated from the practice squad Saturday, Aaron Wilson of Sportstalk 790 Houston reports.
The Titans waived Rush on Tuesday, Jim Wyatt of the Titans' official website reports.
The Titans activated Rush off the COVID-19 list Friday, Paul Kuharsky of PaulKuharsky.com reports.
Rush was placed on the reserve/COVID-19 list Monday, Jim Wyatt of the Titans' official site reports.
Rush signed with the Tennessee Titans on Monday.
Rush was let go by Green Bay on Thursday, Wes Hodkiewicz of the Packers' official site reports.
Rush was claimed off waivers by the Packers on Wednesday, Rob Demovsky of ESPN.com reports.
Rush was released by the Bears on Tuesday, Aaron Wilson of The Houston Chronicle reports.