The cornerback agreed to join the AFC West champions earlier this year after coming to the end of his contract with the Philadelphia Eagles.
The 27-year-old told the Bradenton Herald: "They told me about my flaws. Nobody had done that, and it impressed me.
"They told me what I needed to work and how they would get me better instead of telling me about what I could do."
Rodgers-Cromartie made 51 tackles and three interceptions for the Eagles last season.