Asad played youth football and debuted professionally with Vélez Sarsfield under Ricardo Gareca's coaching, entering the field in a 1–2 defeat to Colón in the 2013 Final. Asad was part of the squad that won the 2013 Supercopa Argentina, although he did not play the game. After Héctor Canteros' departure from the club and Jorge Correa's injury, Asad started playing more regularly for the first team under José Oscar Flores' coaching in the 2014 Argentine Primera División, totaling 14 games. Under Miguel Ángel Russo's coaching, Asad scored his first professional goal, in a 2–1 victory over Crucero del Norte.
On 11 January 2017, Asad was loaned to Major League Soccer's Atlanta United FC. He scored the first goal in the team's MLS history, against New York Red Bulls in a 1-2 defeat at home on 5 March 2017. Despite a successful season with Atlanta, the club was unable to agree terms with Vélez Sarsfield on a permanent move and Asad returned to the Argentine club. However, MLS roster rules dictated that Atlanta maintained his rights within MLS.
D.C. United
In February 2018, a three-way transaction was struck between Vélez Sarsfield, Atlanta United, and D.C. United which resulted in Asad signing on loan for D.C. In the deal, D.C. sent $300,000 in general allocation money and $200,000 in targeted allocation money to Atlanta for Asad's MLS future. At the same time, D.C. reached a loan agreement for 2018 with Vélez Sarsfield which included a purchase option of $700,000 at season's end. In his debut for DC United against Orlando City SC on March 3, 2018, Asad scored his first goal in the 32nd minute. Asad scored again in the Audi Field inaugural game against the Vancouver Whitecaps on July 14, 2018. The game ended as a 3-1 win for DC. Asad scored 9 goals and contributed 8 assists in 2018 for United. D.C. United pursued to permanently sign Asad after the 2018 season, but talks fell and Asad decided to return to Vélez Sarsfield.
Return to Vélez Sarsfield
Asad decided to return to Vélez Sarsfield in January 2019.
Yamil Asad is the son of former Vélez Sarsfield player Omar Asad, who scored the second goal for Vélez in the 2–0 win over A.C. Milan for the 1994 Intercontinental Cup, the same year of Yamil's birth. He is also great-nephew of former international footballer and manager Julio Asad.
