Jack Spilsbury of We Rave You wrote that, the song "featuring heavy and power synths and incredible vocals and rapping from Rick Ross and Rich Brian". It is written in the key of D major, with a tempo of 104 beats per minute.
Brian Bonavoglia of DJ Times described the track "as an exhilarating anthem that sees the worlds of hip-hop and menacing mid-tempo combine into one making for one adrenaline-pumping listening experience". Jason Heffler of EDM.com commented that "Run It" as "a heart-racing banger fit for the suspenseful action sequences of a tentpole Marvel film". Oliver Tryon of Cultr praised the song "[is] perfect for the movie, a hard hitting, energetic track that [you] can envision being placed throughout a car chase or the like".
The music video was released on 14 September 2021, which appeared in the film Shang-Chi and the official soundtrack, and also starred the film's lead actor, Simu Liu. It showcases Liu "battle it out on the dance floor with the DJ Snake".