The Mocs (6-4, 4-4 Southern Conference) began the game-winning drive on The Citadel 9-yard line after a career-long 53-yard punt return by Joel Bradford.
Coleman was 39-for-61 with 356 yards and three touchdowns and Cooper finished with 139 yards and two TDs on 14 carries for Chattanooga.
The Mocs had 12 tackles for a total loss of 41 yards, holding The Citadel to 91 yards rushing. Steven Smigelsky led the Mocs with 11 tackles, including two for a loss and a sack.
Edwards finished with 214 yards and three TDs on 21-of-37 passing and Roberts caught 10 passes for 107 yards and two TDs.
The coronavirus and college sports: NCAA reopening plans, latest news, program cuts, more
The Pac-12 is joining the rest of the Power 5 conferences and will play a seven-game fall college football season beginning Nov. 6. Here's the latest on how the coronavirus pandemic is affecting the college sports world.
Michigan Wolverines' Jalen Mayfield granted waiver after opting back in
Jalen Mayfield, who declared for the NFL draft after the Big Ten postponed the season but then opted back in, has been cleared by the NCAA to return.
Who to trust, lust and bust in the SEC?
The TOL panel breaks down which SEC team they trust after Week 1, but also which teams left them looking for more.
Ohio State Buckeyes' Shaun Wade, Wyatt Davis OK'd to play after opting back in
Ohio State cornerback Shaun Wade and offensive lineman Wyatt Davis have been cleared to play this season after opting back in.
Notre Dame football team announces 18 positive cases in latest round of COVID-19 testing
The Notre Dame football team on Monday announced 18 positive tests in its latest round of COVID-19 testing, bringing the team's total to 25 players currently in isolation.
Indiana Hoosiers lose key defensive starter Marcelino Ball to torn ACL
Marcelino Ball tore an ACL during Indiana's workouts last week and will miss the entire season.