Dorota Okan lives with her son and husband at the Leeside Apartments in the city centre, which were bought last week by Cork City Council and housing agency Clúid.
Tenants spent months under threat of eviction from the previous owners of the apartment block, Lugus Capital.
Ms Okon, who suffers from chronic asthma, said her family had nowhere to go if they had been evicted.
She said: “At the moment, I have lots of friends and neighbours who have gone to B&Bs and hostels with children and their lives are devastated.
“The Government should change the law for tenants and stop landlords evicting people because at the moment, they are allowed to do what they like.”