Marshall, 29, has played in eight games this season with 24 combined tackles. He started in Thursday’s game against the Denver Broncos after cornerback Brandon Flowers suffered a concussion and Jason Verrett re-aggravated a shoulder injury last week.
The Chargers lost 35-21 after Broncos receiver Emmanuel Sanders had 120 yards and a career-high three touchdown catches.
To replace Marshall on the 53-man active roster, the team signed Crawford, the Washington Redskins' seventh-round pick in 2012. Crawford was released from the Redskins practice squad early in the season, re-signed in late September and then waived three weeks ago.
The Chargers are 5-3 and face the 4-3 Miami Dolphins on Sunday.
- Danielle Zhu