In France, nine songs from "Rebel Heart" managed to enter the SNEP charts, with "Joan of Arc" being the second highest charting non-single from the album, managing to peak at number seventy-six, and peaking higher than the single "Bitch I'm Madonna" (which reached number 90). Madonna performed "Joan of Arc" in an acoustic version for the first time during her week on "The Ellen DeGeneres Show" on March 18, 2015. Madonna was dressed in a sequined heart blouse, with the performed track being "slightly slower than the studio version, while parts of the song [had a minimal production]". Mike Wass of Idolator praised the performance, calling it "a little too good to be true — but it's nice to see Madonna showing her softer side". "Digital Journal" reviewer Markos Papadatos wrote that it was "an outstanding vocal performance", where Madonna "showcased tremendous control over her voice, and allows the lyrics to speak for themselves. Her delivery is emotional, vulnerable yet delicate." Writing for "The Inquisitr", Daryl Deino praised her vocal performance, saying that she "showed the world once again just what her voice is made of", calling the version "beautiful". Furthermore, Bradley Stern of MuuMuse also applauded the performance, calling "[r]eally great. Super vulnerable, super emotional...and that chilly guitar finish was a wonderful surprise". Madonna also added the song to the set list of her free concert in Australia—an intimate show where the singer combined a mix of acoustic music, comedy and storytelling. It was considered a "gorgeous ballad" by Cameron Adams of News.com.au website. Credits adapted from Madonna's official website.