Munyori weAlgeria, Slimani akaita mutambo wake wepasi rose muna 2012 uye akatamba muAfrica Cup of Nations muna 2013, 2015 na2017, uye aive chikamu chechikwata cheAlgeria chakakunda mukombe we2019
. Aivewo chikamu chechikwata cheAlgeria pa2014 FIFA World Cup, kwaakapedza semutambi wepamusoro wechikwata aine zvibodzwa zviviri. Kubva munaKurume 2021, akahwina pamusoro pemakumi manomwe emakwikwi epasi rese uye akarova zvibodzwa makumi matatu nezvitatu, zvichimuita wechipiri weAlgeria wepamusoro-soro zvibodzwa.