Following a period of ill-health, Maradona died at the age of 60 after suffering a cardiac arrest in Buenos Aires.
Maradona was recently treated for a blood clot in his brain but was discharged a fortnight ago following a successful surgery.
The former Barcelona, Sevilla and Napoli star was laid to rest on Thursday as thousands of people trooped to his funeral to pay their last respects to a man many consider as the greatest footballer of all-time.
Morla believes those placed in charge of taking care of the world cup winner in his final days failed in their responsibilities and should be brought to book.
"Today is a day of profound pain, sadness and reflection. I feel in my heart the departure of a friend whom I honoured with my loyalty and companionship to the end of his days," Morla said in a statement published via his social media channels.
"I bid him farewell in person and the wake should be an intimate moment for the family.
"In terms of the report from the Prosecutor San Isidro, it is inexplicable that for 12 hours my friend has had no attention or check-up from the personnel dedicated to these ends. The ambulance took more than half an hour to arrive, which was a criminal idiocy.
"This should not be overlooked and I will ask for it to be investigated until the end of its consequences. As Diego told me, 'you are my soldier, act without pity'.
"To define Diego in this moment of deep desolation and pain I can only say: He was a good son, he was the best football player in history, and he was an honest person. May you rest in peace, brother."