Rosenberg wuxuu xirfadiisa ciyaareed ka bilaabay kooxda Malmö FF wuxuuna noqday goolhayaha Allsvenskan inta uu amaah ku joogay Halmstads BK xilli ciyaareedkii 2004. Rosenberg guusha Allsvenskan wuxuu soo jiitay xiisaha dibada, ugu dambeyntiina wuxuu ku dhamaaday inuu u ciyaaro kooxaha kubada cagta ee Yurub oo dhan, oo ay ku jiraan Werder Bremen ee Jarmalka Bundesliga, Ajax ee Eredivisie, Racing de Santander ee La Liga, iyo West Bromwich ee Premier League. Ka dib markii uu ku soo laabtay Malmö FF sanadkii 2014, Rosenberg wuxuu dhaliyay dhowr gool oo muhiim ah oo ka tirsan kooxda UEFA Champions League wuxuuna ka caawiyay kooxda inay ku guuleysato horyaalka. Sannadkii xigay, Rosenberg mar kale wuxuu door muhiim ah ka ciyaaray xaqiijinta isreebreebka kooxda Malmö FF ee Champions League. Waxa kale oo uu ka qeyb qaatay inuu ku guuleysto laba horyaal oo kale oo isku xigta sanadkii 2016
iyo 2017, iyo sidoo kale ka gudubka heerarka 2018 <unk> 19 iyo 2019 <unk> 20 UEFA Europa League ee Malmö. Xilligiisii labaad ee Malmö FF wuxuu cadeeyay inuu guuleystey, maadaama loogu magac daray laacibkii ugu fiicnaa kooxda qarnigii 21aad.