When to Speak to an Officer
After an arrest you do NOT have to speak with the arresting police officer. Not only do you NOT have to speak, you should NOT speak until talking to an attorney first. You have a 5th Amendment right to remain silent through all stages of a criminal case. Your 5th amendment right is not limited to the court room, it includes the investigation, arrest, and criminal charge in court.
If you have been arrested, then the police officer has already made a determination that you are the one at fault, so the only reason an officer would question you after an arrest is to gather evidence against you. An officer could be questioning you with intent to gather information while you simply think you are having a conversation.
Your best move is to contact an attorney before speaking with a police officer to avoid providing any information that could be held against you in the future.