Carroll, a 36-year-old ex-England international, is currently available after spending last season with French club Bordeaux.
Before that, he played for Amiens in the second tier of the French football league system during the 2023/24 season.
As Chelmsford City prepares for the new campaign, their manager Andy Harrop expressed his satisfaction with the team's current roster.
When asked about the possibility of Carroll joining the team, Harrop chose not to comment, but instead highlighted the team's young and talented players.
Chelmsford City finished 11th in the National League South last season and is looking to develop its players and achieve success in the upcoming season.