Quinn and Leinart, who starred for Carroll at USC, are seeking to latch onto their fourth team. Leinart was taken 10th overall in 2006 by the Cardinals, and Quinn went 22nd to the Browns a year later.
Wallace, 32, and Thigpen, 28, might be better fits in Seattle because of their running ability. Wallace played for Seattle from 2005-09, throwing 11 touchdowns against three interceptions in 10 games in 2008.
Wilson, 24, is coming off a phenomenal rookie season in which he threw for 3,118 yards, tied Peyton Manning's rookie record of 26 touchdown passes and led the Seahawks to their first road playoff win in 30 years.
Asked to identify a 2013 breakout player, Carroll picked Wilson.
“He's going to bust out and will benefit tremendously from his first year,” Carroll said on the team's website. “It may be hard to imagine he's going to get any better, but I think he's going to get a lot better, being he was a first-year starter, first time in the league.”