But Gonzalez, who entered Thursday with a 2.88 ERA overall and a 0.87 ERA in his last 13 outings, insisted he pays no attention to trade rumors and rarely checks in with agent Dan Lozano about what Lozano is hearing.
"I'm a guy that's been traded twice already," Gonzalez said. "I've always been a guy who would rather not talk about it. If it happens, it happens. But [the rumors] have never been right on point, and then all of a sudden, it happens."
Gonzalez was traded from the Pirates to the Braves in January 2007, and from the Orioles to the Rangers in August 2011. The Braves are in the market for left-handed relief again, and had a scout at Miller Park this week.
Adam McCalvy is a reporter for MLB.com. Read his blog, Brew Beat, and follow him on Twitter at @AdamMcCalvy. Kevin Massoth is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.