In court papers filed Wednesday in Los Angeles County Superior Court, the Oscar-winning actress listed "fraud" as the reason for the breakup with the country music star.
The term was "simply legal language and not a refection of Kenny's character," Zellweger said in a statement Friday.
"I would personally be very grateful for your support in refraining from drawing derogatory, hurtful, sensationalized or untrue conclusions," she said. "We hope to experience this transition as privately as possible."
Chesney also released a statment Friday: "This is an incredibly sad time. ... I just hope everyone can respect the privacy that I know Renee has already asked for."
Zellweger, 36, and Chesney, 37, wed in a small ceremony on the Caribbean island of St. John in the U.S. Virgin Islands in May. It was the first marriage for both.
Photos of the couple barefoot on the beach were widely distributed.
They met at the Concert of Hope tsunami relief benefit Jan. 15, where Chesney was singing and Zellweger was answering telephones, the syndicated television news magazine "The Insider" had reported.
Zellweger won a best supporting actress Oscar for "Cold Mountain." Her screen credits also include "Chicago" and "Bridget Jones's Diary."
Chesney was named Country Music Association entertainer of the year in November. His hits include "Me and You" and "She Thinks My Tractor's Sexy."