Yes. The most important details to know are your flight number, the flight reservation number, departure/arrival airports, and the exact date of the flight. These details are usually provided in the confirmation email sent by the airline.
However, not all airlines are satisfied with this, so we would like to ask you to submit your flight documents (tickets, boarding passes, etc.) too. This very important in cases when airlines reject the claim: without documentation, we will not be able escalate the matter by going to authorities or courts.