Paul Konerko spent 18 seasons in the major leagues. He spent 16 of those years with the White Sox, who acquired him from the Reds in 1999. For 15 of those he was a starter, and of those 15 he only had 3 bad seasons (2003,2008,2013). For 12 out of those 15, he was a good player, and sometimes a great one.
The case for Paul Konerko to be in the hall of fame is pretty simple. It basically comes down to two numbers: 439 home runs and 1,412 RBI. Most of the players who have compiled those two numbers are Hall-of-Famers.