On 6 August 2014, Real Madrid yakazivisa kuti Benzema akanga asaina chibvumirano chitsva chemakore mashanu chichamuchengetedza mukirabhu kusvika 2019. Musi wa12 Nyamavhuvhu 2014, Benzema akatamba maminetsi makumi mapfumbamwe ese muReal Madrid's 2 <unk> 0 kukunda Sevilla muCardiff kutora UEFA Super Cup
. Musi wa 16 Gunyana, Benzema akarova zvibodzwa zviuru zveReal Madrid mumakwikwi eEuropean mushure mekunge awana chibodzwa mukukunda 5-1 pamusoro peFC Basel mumutambo wekutanga weChampions League group stage. Akahwina zvibodzwa zvekukunda muReal Madrid 2<unk>1 away kukunda Ludogorets Razgrad muChampions League mushure mekuuya sechinotsiva chechipiri. Vhiki rakatevera, akarova brace mukukunda 5-0 kurwisa Athletic Bilbao muLa Liga. Muna 2014, Benzema akahwina mubairo weFrance Nhabvu weFrench Player weGore kechitatu; Thierry Henry chete ndiye akahwina mubairo uyu kakawanda.