No, Fly Baghdad has no scheduled flights out of London Heathrow. However, Fly Baghdad does fly out of Istanbul. There are also other airline options to choose from if you still want to book a flight from London Heathrow. Air Algerie, for example, is an airline that flies out of London Heathrow on a regular basis.
To check the flight status of Fly Baghdad, you can give them a call at +34 922 015 115 or visit their website at flybaghdad.net/en/. Or, you can use our on-page Flight Tracker that provides you with real-time Fly Baghdad flight information, including terminal and gate number, arrival and departure times, and flight status.