The song was written and produced by Estéfano and released as the lead single from the album in September 1998 by Sony Discos.The rock ballad details everything the singer is capable of doing for his lover.

On February 6, 1998, Chayanne announced during the 39th Viña del Mar International Song Festival in Chile that he was set to start recording a new album in June.

[1] Further details about the album were revealed during a press conference in August at the Plaza Hotel in New York City including its name, Atado a Tu Amor, and release date on September 29, 1998.

[11][12] "Dejaría Todo" was released as the lead single for Atado a Tu Amor on the first week of September 1998 by Sony Discos.

A writer for Los 40 described it as a "claustrophobic scenario that speaks about the sadness of love in this video created by narrow corridors, dark colors, large pillars in which the singer gets and even a cage in which a model appears".

[21] El Nuevo Diario critic Edgard Barberna S. praised it as a "impressive ballad that gets under skin as a prayer of love".

[22] Eliseo Cardona, who wrote a more critical review of Atado a Tu Amor for El Nuevo Herald, felt that "Dejaría Todo", along with the title track, "stand out in a banal repertoire made for the staging of the live show.

"[23] A writer for Clarín listed it as one of the singer's "15 Greatest Hits", while an editor from El Debate cited the track as of the five songs that made him famous.

[32] The Portuguese version, "Deixaria Tudo", was covered by Brazilian singer Leonardo on his studio album, Quero Colo (2000),[33] and reached number two in Brazil according to Billboard.