Answer:
The suspect is not correct.
Explanation:
It is true that police officers can only enter an apartment with a search warrant. However, federal law makes an exception for cases of flagrante delicto where the police have to chase a suspect and he enters an apartment to seek shelter, as shown in the above question. In that case, the police could, in fact, enter the apartment even without the search warrant and make the arrest of the miscreant.