Florescu spent his junior years at his hometown club Argeș Pitești, but started his senior career at nearby Liga II team Mioveni in 2013. He played there for five years, before moving to Liga I club Viitorul Constanța in June 2018.[2]
In August 2018, Florescu joined fellow league team Botoșani, after not appearing in any match for Viitorul Constanța.[3] In January 2019, he was loaned out to his boyhood club Argeș Pitești until the end of the season.[4]
On 5 September 2022, Florescu was transferred to Universitatea Craiova, agreeing to a two-year deal with an option to extend for a further year.[5] He returned to Botoșani in January the following year, after failing to impose himself at Craiova.