A number of copies on blue vinyl were then sold at White's live shows, before a wide release of the album, revealed to be titled No Name, was announced.

[14] Employees at the locations were also not briefed about the record's contents, only being instructed by their management to include it with every purchase made free of charge.

[15] This method of releasing the album was compared to when White hid 7-inch vinyl singles inside of furniture when he previously worked as an upholsterer.

[17] Later that day, Third Man took to social media to encourage those who obtained the record to rip its audio digitally and share it online.

[18] Vinyl copies of the album were put up for sale on eBay shortly after release, generally being priced between $500 and $1,000.

[19] Shortly after the album's release on July 27, White played a show at American Legion Post 82 in Nashville where new LP copies of No Name on blue vinyl with a cover art, track titles, and liner notes were made available for attendees to purchase.

[20] White announced on July 31 that No Name would receive a digital release on August 2 as well as releases on blue vinyl, limited to independent record stores, and standard black vinyl; Third Man stores sold the album exclusively one day early, on August 1.

[5] The Guardian's Stevie Chick praised the album as one of White's best, calling it "dark, heavy, thrilling, beautiful."

Chick wrote that the album finds White sounding "leaner and sharper than he has for some time" and commended it for recapturing his "gift for heavy rock studded with hooks and a pop-oriented lightness of step.

"[13] Rolling Stone's Jon Dolan lauded White's ability to merge the straightforward rock sound of his past with the experimental nature of his recent works, additionally complimenting the album's conciseness and certain moments that he felt were akin to the works of artists like Willie Dixon, Led Zeppelin, and the Stooges.

[26] Numerous critics and publications listed No Name in their year-end ranking of the best albums of 2024, often inside the top fifteen.