The Rams said Thursday that initial interviews are taking place in Denver, with owner Stan Kroenke an active participant. Kroenke's family also owns the Denver Nuggets and Colorado Avalanche.
Kevin Demoff, the Rams' chief operating officer, said earlier this week that Kroenke would be "heavily involved" in the search and added that the decision is "his call."
Unlike Steve Spagnuolo, who was fired Monday after going 2-14 this season and 10-38 over three seasons, Fisher offers the Rams plenty of head-coaching experience. He has a career record of 142-120 and led the Tennessee Titans to at least 12 wins four times.
The Rams also are looking for a new general manager to replace the fired Billy Devaney. NFL Network insider Jason La Canfora reported Wednesday that the Rams have talked to Dolphins director of player personnel Brian Gaine about their general manager opening.
The Associated Press contributed to this report