Iran-backed Houthis have increased their attacks and made several claims of targeting numerous ships in recent days, including claims, without evidence, that they were targeting Israel-linked ships.
He was quoted as saying the crew would be turned over to their ambassadors in Tehran. The reports did not say when this would occur.
Colombia, Spain and an American salvage company all claim ownership of the wreck - dubbed the "Holy Grail of Shipwrecks" - and its cargo.
US Army ships on their way to Gaza are part of the increased efforts by US-Israeli cooperation to increase humanitarian aid to the Gaza Strip.
It said Portugal had demanded the release of the crew "as explanations provided so far have not been considered consistent," and urged de-escalation in the Middle East.
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Significant damage was caused to the targeted vessel and all the crewmembers abandoned ship.
Sudanese senior advisor says that Iran wants to build a naval base on their land and offers a helicopter carrier as payment. Sudan rejects the offer in fear of the US and Israel's response.
Houthi attacks on cargo ships in the Red Sea have little effect on trade with Israel according to a Finance Ministry report.