Can you terminate property management in place at purchase?

[Chase Gibson]

I have 2 properties under contract that have property management (In this question referred to as "ABC Property Management Company") in place currently.  So far I have been unhappy with what I have seen from this property management company and would like to terminate their management of these 2 properties when I purchase the homes.

My dilemma is the leases are between the "ABC Property Management Company" and the tenants.  Does this affect my ability to fire this property management company when I purchase the homes?