The Falcons prioritized their biggest problems during free agency, and quickly replaced former center Mike Person with Alex Mack. The player who started next to Person was allowed to reach free agency, and has had nearly zero interest.
ESPN's Adam Caplan has a likely reason: Chester underwent surgery for a torn rotator cuff.
UFA G Chris Chester (#Falcons) is recovering well from surgery to repair a torn rotator cuff (should be ready to go sometime in June).— Adam Caplan (@caplannfl) April 4, 2016
Chester was a nice addition for the Falcons, but his play fell off late in the season. While many believed his age (now 33) caught up to him, a torn rotator cuff could explain the quick decline in his blocking. The team did not sign a starting-caliber guard, and with Atlanta missing their 5th and 6th round draft pick, it is expected they will simply bump Person to guard. Person was an impressive blocker, but was unable to learn how to snap or change protections in just one offseason.
If the Falcons plan to roll with Person at guard, they may want to bring back Chester as depth. Their other options on the roster are James Stone, Ben Garland, the always present Adam Replogle, Collin Rahrig, and maybe Tom Compton. This is clearly a position the team will need to upgrade, but they have very few realistic options. Considering his age, injury, and declining play last season, the Falcons should be able to bring in Chester for cheap in June if he heals well.