Indianapolis has a need at left tackle following Anthony Castonzo's retirement. The club opted not to draft a potential replacement this past weekend.
Fisher, the No. 1 pick in 2013, spent eight seasons in Kansas City, winning a Super Bowl in 2019.
The 30-year-old tore his Achilles in the 2020 AFC Championship Game and missed Super Bowl LV. Starting right tackle Mitchell Schwartz also missed the contest with an injury and, as a result, Patrick Mahomes spent much of the game under siege from the Tampa Bay Buccaneers' pass rush.
Fisher and Schwartz were both released on March 11, saving the Chiefs $18 million in cap space.