Orlando Tenant didn't give 60 days and wants his balance to be $0

[Scott Esmail]

We have a tenant who moved out and did not give 60 days. Therefore his account on his portal is showing he owes those 2 months of rent plus late fees. The property got rented fast and now the past tenant is claiming since that the property is now rented and occupied by a new tenant that we can not charge him for the 60 days owing ? Can someone clarify if he is correct ?