The lead-off single was "Beer Run (B Double E Double Are You In?)", a duet with Garth Brooks that was also found on his 2001 album Scarecrow. The LP continued Jones's re-emergence on the Billboard country albums chart, rising to number 5 (as had his previous studio album Cold Hard Truth) and made it to number 65 on the Top 200 chart. Significant tracks include "50,000 Names", written and originally recorded by Jamie O'Hara, is a tribute to fallen soldiers of the Vietnam War, and "Tramp On Your Street", which marks the first time a Billy Joe Shaver song appeared on a Jones album. "What I Didn't Do" had been previously recorded by Steve Wariner.
The album was released on Bandit Records, an independent label Jones founded with Evelyn Shriver and Susan Nadler. As Jones explained to Jessica Walden of The 11th Hour, " Truthfully, I was just sick of the major record companies and never having any control over my music. I've recorded more than 1,000 songs and made many millions of dollars for a lot of different companies, yet I still have nothing to say about my own records and what is done with them. Once radio stopped playing my music, most of the big companies were not that interested in me – they like the prestige of having a "legend" but they really don't want to have to work those records. They want to save their money and put it towards younger artists that they have more control over and whose royalty rate might not be as large as an established artist."
Rich Kienzle of Amazon.com calls The Rock: Stone Cold Country "the sound of a country legend at top form. At 70, after passing through half a century of shows, recordings and overindulgence, George Jones's voice, always a miraculous instrument, is at the peak of its prowess in exploring the human condition. By and large the material here rises to that occasion." Al Campbell of AllMusic disagrees, commenting that it "isn't the most memorable record in the Possum's massive discography."