The drugs were first spotted by a military plane over the eastern Pacific Ocean on November 19, according to the Miami Herald.
The turtle swam off, and the boat crew hauled in 75 feet of line and 1,800 pounds of cocaine - an amount worth approximately $50 million, and a significant fraction of the 6,800 kilos that Thetis brought in during this tour.
"They probably felt the heat coming and got rid of it", Diaz told NBC News.
The video, shared to a Department of Defense video platform, shows two Coast Guard members working to rescue the distressed animal.
The crew also caught 24 suspected drug smugglers. They briefed Thetis' commanding officer and went to work, carefully cutting the lines wrapped around the sea turtle and freeing him.
The cutter ship was an active part of Operation Martillo, a multinational drug operation.
The boat was patrolling the area as part of Operation Martillo, a scheme to cut down on drug trafficking routes along the eastern Pacific.
In total, the seized drugs had a street value of more than $135million, the Coast Guard said.
Overall, Operation Martillo 2017 resulted in the seizure of almost seven tons of cocaine valued at $135 million, officials stated.
"The successful whole-of-region approach to halt the flow of cocaine, heroin and other drugs into the region promotes stability, security and well-being of citizens of every country", Coast Guard Rear Adm. Christopher J. Tomney said in a 2016 news release. It turned out to be multiple bales of cocaine, bound together with line, and in the midst of the mass was an entangled sea turtle.