"Honestly, I welcome the challenge with some of the guys that the rumors have been about," Flowers told MLB.com Wednesday. "I'll take my chances against those guys.
"We start trading for Yadier Molina, I might have to reassess," added Flowers with a smile. "But other than that, I'm confident in myself and the abilities I have and my relationship with the starters and the pitchers we have here and the staff and all."
Those rumors started back in Spring Training, when there was unfounded talk of the White Sox interest in the Yankees' Francisco Cervelli. The rumors that centered on Jason Castro -- a left-handed hitter who batted .276 with a .350 on-base percentage as recently as 2013 with the Astros -- make a little more sense with the White Sox in need of future offense from that side of the plate.
While Flowers certainly knows there is room for improvement in his game -- just as there is for the entire organization -- he also understands his overall value.
"I've established a pretty good work ethic [with the pitchers], and those kinds of things that are not really valued in statistics but are an imperative part of the game," Flowers said. "At the end of the season, at first you take a breather and assess your own self in the mirror.
"Then you kind of put some thought to those things [concerning future role]. But in the situation I'm in and for a lot of guys, your opinion really doesn't matter. It's whatever they want to go in their direction and those kind of things."
Scott Merkin is a reporter for MLB.com. Read his blog, Merk's Works, and follow him on Twitter @scottmerkin. This story was not subject to the approval of Major League Baseball or its clubs.