Muzaqi was born in Mitrovica in what was then the Socialist Autonomous Province of Kosovo in the Socialist Republic of Serbia, Socialist Federal Republic of Yugoslavia. Raised in Vushtrri, he graduated from the University of Pristina with a master's degree from the Faculty of Pharmacy. He later earned a second master's degree in Food Engineering and Technology (2014). Muzaqi has served one term as president of the Kosovo Pharmaceutical Association.Besim Muzaqi, Vetëvendosje!, accessed 20 January 2022.
