Unverified video of the crash showed the plane, which was operated by Azerbaijan Airlines, bursting into flames as it hit the ground and thick black smoke then rising.
The airline said it could not provide further information on what caused the plane, which had a PS-VPB registration, to crash.
Chilima was arrested in 2022 over graft allegations, however, a court dropped the charges last month after the director of public prosecutions filed a notice for the case to be discontinued.
It isn't expected that presidents should go missing or be involved in crashes. However, historically, a number of important political and military leaders have met their end in crashes.
All passengers on board the helicopter, including Foreign Minister Hossein Amir-Abdollahian, were killed in the crash on Sunday.
The plane crashed off the eastbound lanes past the Charlotte Pike exit, police said in a post on social media platform X, adding that work was ongoing to determine from where the plane originated.
Footage from Puerto Global showed the damaged aircraft on the beach having crashed into what it said was a turtle rescue center.
Taking accurate weight measurements can increase passenger safety on flights.
WPLG said the plane, operated by the Hop-a-Jet charter aviation carrier, was ultimately destined for an executive airport in Fort Lauderdale, Florida, where that company is based.