After its release, A + No Poder received favorable reviews from music critics, with one expressing appreciation for the balance between ballads and rock songs.

To promote the album, three singles were released: "Adiós" featuring reggaeton performer Farruko, which peaked at number 26 on the Billboard Latin Pop Songs chart, "Qué Ironía" and "Esta Noche".

In 2013, Alejandra Guzmán released her fourth live album titled Primera Fila, selling 90,000 units in Mexico and launching the "La Guzman 1F Tour", which included dates in cities of the United States such as Los Angeles, Las Vegas, Houston, Miami and also Puerto Rico.

"[3] A + No Poder is Guzmán's first studio album since Único (2009), a critically acclaimed effort that was commercial unsuccessful due to lack of promotion, according to Ángel Rodríguez of ADN Informativo.

[1] "Te Esperaré" is a ballad, and "Malvada", a story about a femme fatale, has country music undertones with a harmonica that resembles Mexican band El Tri.

[1] "A Más No Poder" has sexual connotations in its lyrics and as stated by Ángel Rodríguez of ADN Informativo, "brings back memories when Guzmán was produced by Miguel Blasco in the 90's".

Fabiola Hinojosa, of Televisa Espectáculos stated that the album "shows that despite being a rocker at heart, she has no problem recording in another genre and experiment[ing] with new rhythms.

Rodríguez also reminded that Guzmán keeps trying to incorporate new or alternative rhythms to her music even if the results are not commercially successful, such as her albums Cambio de Piel (1996) produced by Spanish musician Carlos Narea, or Lipstick (2004), helmed by American artist Desmond Child, and A + No Poder is no exception, since the "Queen of Rock in Mexico" includes songs that "hark back to the era of the nineties, but so potentiated with harder songs where the guitars, drums and her hoarse voice come together in musical chords.