The debris and other material was collected on Oct. 4 and brought in for analysis.
“Who was the last person to murder two billionaires, at once, and have them pay for the privilege?” said fellow submersibles expert Karl Stanley.
“I don’t respond to offensive rumors in the media usually, but I need to now,” the director wrote on Twitter.
The submersible's thrusters malfunctioned on a dive filmed for a BBC documentary, leaving it circling at the bottom of the ocean.
"I’m so worried he kills himself and others in the quest to boost his ego," David Lochridge said of the company's CEO in the note.
Photos show what appear to be several pieces of the submersible being lifted from the ship, including the nose cone with its distinctive circular window.
The actor famously appeared James Cameron’s Oscar-winning 1997 film.
The agency has convened a Marine Board of Investigation, its highest-level probe.
Christine Dawood was on board the host ship when the submersible carrying Suleman and Shahzada Dawood to the Titanic lost communications.
OceanGate Expeditions had been repeatedly warned its deep-sea submersible was unsafe. It continued to sell seats to high-paying customers anyway.