Alex Rodriguez only spent three seasons with the Rangers, but those were unbelievable seasons. Rodriguez was an All-Star all three seasons with Texas. He also won three Silver Slugger awards and two Gold Gloves with the Rangers. Rodriguez won MVP in 2003 with Texas when he hit 47 homers and 118 RBI in a single season.
Three seasons does not seem like enough time to become to best all-time at a position. Rodriguez hit .305/.395/.615 with 156 home runs and 395 RBI during his time in Texas. Which makes A-Rod 9th all-time in homers, 5th all-time in batting average, and first in slugging percentage.
A-Rod did not make the post-season with the Rangers. Although he led the league all three seasons in home runs and once in RBI. Rodriguez only missed one game throughout three seasons with the Rangers.
Testing positive for PEDs has completely ruined the legacy of Alex Rodriguez. This list is solely based off performance and A-Rod was unstoppable on the field. Rodriguez did not test positive for PEDs when he was on the Rangers.
The Hall of Fame is unlikely for A-Rod despite the historic career. By statistics alone Rodriguez is the best shortstop in Rangers history right now. It is going to be difficult for any player to do what he accomplished in three seasons with Texas.