Wilson led them to a record of 104-53-1 in the regular season and 9-7 in the playoffs.
This included a 43-8 rout of Denver and Peyton Manning's record-breaking 2013 offense to win the Super Bowl, the team's sole title.
A rift between Wilson and Carroll was a major factor in the quarterback's shocking exit from Seattle eight months ago.
When Broncos GM George Paton agreed to trade three players and four valuable draft selections to the Seahawks for the nine-time Pro Bowl quarterback.
After Manning's retirement in 2016, the Broncos believed they had finally resolved their quarterback issue, which includes 11 different starters.
Before the Broncos' season opener in Seattle, Carroll took a swipe at Wilson.