Jaramillo told people close to him that he would like to go to a team that has a chance to go to the playoffs and win right away, according to ESPNChicago.com's Bruce Levine.
The Rangers and Jaramillo agreed to part ways after Texas offered him a one-year deal instead of a multiyear contract.
The Cubs fired Gerald Perry as hitting coach during the season, and Von Joshua was promoted from Triple-A Iowa to fill in. The Cubs scored 148 fewer runs in 2009 after leading the National League with 855 in 2008.
Texas scored the most runs in baseball in 2008 but finished 10th this season. Jaramillo is believed to be the highest-paid hitting coach in baseball.