Rubuta ci gaba don wannan sakin layi - Rosenberg ya fara aikinsa a kulob din garin Malmö FF kuma ya zama dan wasan Allsvenskan mafi ci gaba yayin da yake aro a Halmstads BK a lokacin kakar wasa ta 2004. Nasarar Rosenberg ta Allsvenskan ta jawo hankalin kasashen waje, kuma daga karshe ya gama buga wa kungiyoyin kwallon kafa a duk fadin Turai, ciki har da Werder Bremen a Bundesliga na Jamus, Ajax a Eredivisie, Racing de Santander a La Liga, da West Bromwich a gasar Premier ta Ingila. Bayan ya koma Malmö FF a shekarar 2014, Rosenberg ya zira kwallaye da yawa a gasar cin kofin zakarun Turai ta UEFA kuma ya taimaka wa kungiyar ta lashe kofin gasar. A shekara mai zuwa, Rosenberg ya sake taka muhimmiyar rawa wajen tabbatar da cancantar rukunin rukuni na Malmö FF a gasar zakarun Turai. Ya kuma shiga cikin lashe wasu taken gasar biyu a jere a shekarar 2016
da 2017, kazalika da ci gaba bayan matakan rukuni na UEFA Europa League na 2018-19 da 2019-20 tare da Malmö. Matsayinsa na biyu a Malmö FF ya tabbatar da nasara, kamar yadda aka kira shi mafi kyawun dan wasan kulob din a karni na 21.