"[12] Madonna's manager, Guy Oseary, addressed the leak on Twitter adding the singer's statement on the situation: "My true fans wouldn't do this".

[19] A month later, Interscope Records announced that the song would be released on February 3, 2012, three days before she was to perform at the Super Bowl XLVI halftime show.

[27][28] The song starts with a cheer: "L-U-V Madonna, Y-O-U you wanna" with the vocal tone reminiscent off Gwen Stefani's single "Hollaback Girl" (2005) and "Mickey" (1982) by Toni Basil.

Entertainment Weekly's Lanford Beard observed that the song "blends Katy Perry-meets-Gwen Stefani chanting, echoes of Ashlee Simpson's regrettable foray into New Wave-y synth-guitar sounds, and a 'Hold It Against Me' redux breakdown.

"[30] John Mitchell of MTV News commented that the instrumentation of the song consists of "glittery synths, marching band drums, claps and a catchy-as-hell chorus.

[36] Jim Farber from the New York Daily News considered that the song is "a pure snap of bubble gum, closer to an early single like 'Burning Up' than any of her more recent club hits.

"Musically it's a pretty joyful four minutes, featuring bouncing beats, acoustic riffs and Gwen Stefani-style cheerleader chants, but there's something a bit flat about Madonna's delivery.

"[38] Chris Willman of Reuters called it "risible" and infectious: "Everything here is as dumb as the titular spelling, but the campiness has its charm, at least if you like the old musicals that some of the tracking shots here are paying homage to".

[40] In a review of MDNA, Neil McCormick of The Daily Telegraph felt that the prime purpose of the "lightest, frothiest track" from the album was to represent next generation's female pop stars.

"[43] In another review, Keith Caulfield from the same magazine deemed the track as a commercial for Madonna's Super Bowl appearance, rather than being a promotional tool for MDNA, criticizing it for misleading the listener about the vibe of the album.

[45] Jody Rosen of Rolling Stone rated it two out of five stars, describing its lyrics and composition as "dashed off" and "in the doldrums", and was displeased by the track's "aggressive, assaultive spunkiness".

[29] Sal Cinquemani from Slant Magazine described the song as "decidedly vapid" and "catchy" but also stated that "its few charms—'60s surf-pop guitar, vintage video-game effects, and references to her past songs—are fleeting at best."

"[48] Alexis Petridis from The Guardian listed the song as the weakest effort on MDNA, adding that "its position as the album's lead single seems to have had more to do with showing off the presence of Nicki Minaj and M.I.A.

"[49] A writer for Virgin Media gave the song three out of five stars, writing: "Like most Madonna singles, it skips along at a furious pace with a gleam in its eye, but the self-references get tiresome and ultimately she is just trying too hard.

"[53] Chicago Tribune journalist Greg Kot was disappointed with the song and its lyrics, which he found to be meaningless,[54] while Bernard Zuel of The Sydney Morning Herald relegated it as "trite and disposable".

[56] Jude Rogers from The Guardian criticized its "unforgivable spelling" and pointed out that the "candy-pop chorus really fizzes, but [Minaj and M.I.A.’s] cheerleading whoops and raps quickly dissolve".

[57] In August 2018, Billboard picked it as the singer's 95th greatest single; "[Madonna's] undeniably the squad captain on this surf-rock-inspired workout, but her collaborators deserve a big thank Y-O-U for providing the catchiest part of the song with their cheerleader chants".

[59] "Give Me All Your Luvin'" debuted at number seven on the Hot Digital Songs chart selling 115,000 copies, the amount sold in the first three days of its availability and end of Billboard's tracking week.

[76] In Italy, the song peaked at number two and was certified platinum by the Federation of the Italian Music Industry (FIMI) for shipment of 30,000 copies of the single.

[82] Directed by the team Megaforce—which consists of Léo Berne, Charles Brisgand, Raphaël Rodriguez and Clément Gallet—the video has a football and cheerleader theme, inspired by her then-upcoming Super Bowl halftime performance.

[86] Describing the process as like working with the Central Intelligence Agency (CIA), Megaforce told Swiss newspaper 20 minutes that the set was surrounded by police patrol and security guards and mobile phones were not allowed.

[89] Dress designer for the video was Arianne Phillips with cloths provided by brands like Burberry, Dolce & Gabbana, Bebe, Norma Kamali and jewelry from Swarovski, vintage Yves Saint Laurent, Prada and Eddie Borgo.

She makes her way to a town square, then starts dancing with her cheerleaders as they bash heads off of football players using baseball bats, revealing a climactic firework spectacle.

[93] Christopher John Farley from The Washington Post gave another positive review, saying that the singer "appears to be in better shape than many college students, which is crazy" and also complimented her for picking "M.I.A.

"[95] Nicole James from MTV News opined that the video gave another impression that although "Madonna's never been the cute and innocent homecoming queen, but those wholesome, all-American football players still wanna kick it with her.

[97] Chris Wilman from TheWrap noted similarities to Madonna's own "Material Girl" (1985) video with the scenes showing her being carried off by the footballers, adding that "everything here is as dumb as the titular spelling, but the campiness has its charm, at least if you like the old musicals that some of the tracking shots here are paying homage to.

"[98] A writer from Rolling Stone gave a mixed review for the video saying that "It's a goofy and fun clip, though the faceless cheerleaders in the background are more creepy than amusing.

Madonna was supposed to be the center of attention during the Super Bowl halftime show Sunday, but the Queen of Pop was upstaged by her collaborator M.I.A., who flipped off the camera at one point during the performance, prompting swift apologies from the NFL and NBC.

Caryn Ganz from Spin called the performance as the "night's most innovative moment" while Brian McManus from Rolling Stone was impressed with the drumline levitation on top of the stage.

[116] The November 19–20, 2012, performance of "Give Me All Your Luvin'" at Miami's American Airlines Arena, was recorded and released in Madonna's fourth live album, MDNA World Tour.