"Million Dollar Baby" received a positive reception from
music critics. Lindsay Zoladz from
The New York Times characterized the song as "calisthenic", "sleek" and "thumping", acknowledging that despite Max's yet-to-be-defined persona in the pop sphere, she demonstrated proficiency as a "satisfying practitioner of aughts-pop pastiche", with a nod to American singer
Lady Gaga's song "
Bad Romance" (2009). Bradley Stern for
MuuMuse highlighted the song as a "bop" and a significant addition to Max's collection of "smash hits", applauding its "reliably catchy" and "radio-friendly" melodies and emphasizing Max's role as the creative "Interpolation Queen". Sébastien Lof-Lecoq for
NRJ recommended the "powerful" rhythms and lyrics of the song. A critic of
Chérie described the song as a "sensual" hit that owns "everything you could wish for", acclaiming its "electrifying" production, "catchy" chorus and "powerful" vocals. Abigail Siatkowski from
Los Angeles noted the evident influence of Lady Gaga infused with additional pop flair that contributes to the song's distinct identity. Reviewing
Diamonds & Dancefloors, Nick Levine from
NME highlighted the "sleek" production of the song reminiscent of American singer
The Weeknd with a Lady Gaga-style vocal hook, noting its unexpected effectiveness despite the potential for a "mess". Sam Franzini for
The Line of Best Fit described the song as a "playful and energetic" hit, noting the combination of a "confidence boost" with a "killer" bassline. According to a critic of
Women InPop, the song encapsulates the album with its "pumping" beat, s"weet" melodies and a "killer" chorus. Grace Twomey from
Renowned for Sound criticized the song as "schlock" with a lack of originality, while providing a "comfortable listen" for those fond of 1980s production and a "plethora of rehashed tunes". Jordi Bardají for
Jenesaispop also criticized the song for containing a similar
melody to "Can't Fight the Moonlight" and over-relying on interpolations, but stated that it is not "a bad song at all". == Commercial performance ==