Persian ports underAlexander?

Grey Wolf

Donor
I assume under Alexander, ports on the Persian South coast were used by his army or just by the merchants. Which ports were available, and did he rename any of them to Greek new names?
 
Alexander the Great’s admiral Nearchus who sailed the Persian Gulf as Alexander’s army marched parallel in the desert visited many existing ports according to Wikipedia. But it is not clear from the article if they were in southern Persia and/or on the Arabian side of the Persian Gulf.
Wikipedia said:
“The Macedonians visited many ports in the Persian Gulf such as Harmozeia, Qeshm Island, Cape Ra's-e Bostâneh, Qeys Island, Band-e Nakhîlû, Lâzeh Island (where they encountered pearl-hunters), the Bandar-e Shîû promontory, Nây Band, Kangan, the Mand River, Bûsher, the Dasht-e Palang River, Jazireh-ye Shîf and the Marun River. They finally reached the mouth of the Tigris River in 324 BCE.

One city that Alexander founded was definitely on the southern Persian side of the coast, Charax Spasinu AKA Alexandria in Susiana
Wikipedia said:
Charax Spasinu, also called Charax Spasinou, Charax Pasinu, Spasinu Charax (Ancient Greek: Σπασίνου Χάραξ), Alexandria (Greek: Ἀλεξάνδρεια) or Antiochia in Susiana (Greek: Ἀντιόχεια τῆς Σουσιανῆς), was an ancient port at the head of the Persian Gulf in modern day Iraq, and the capital of the ancient kingdom of Characene…..The name Charax, probably from Greek Χάραξ, literally means "palisaded fort", and was applied to several fortified Seleucid towns. Charax was originally named Alexandria, after Alexander the Great, and was perhaps even personally founded by him…..The city was established by Alexander the Great in 324 BC, replacing a small Persian settlement, Durine. This was one of Alexander's last cities before his death in 323 BC. Here he established a quarter (dēmē) of the port called Pella, named after Alexander’s own town of birth, where he settled Macedonian veterans. The city passed to the Seleucid Empire after Alexander's death, until it was destroyed at some point by flooding.”

More about this city, and others are found in List of cities founded by Alexander the Great
Wikipedia said:
“Sometimes given the toponym Alexandria in Susiana by modern historians, Charax Spasinu was the later name of a settlement founded by Alexander on the confluence of the Tigris and the Euphrates. The foundation of the settlement was attested to by both Arrian and Pliny the Elder. Likely established to serve as an entrepôt for Babylon, it was later refounded as Antioch by an unknown Seleucid king (probably Antiochus IV Epiphanes) after being damaged by floods. It was again refounded c. 141 BC by the Iranian prince Hyspaosines, who renamed it Spasinou Charax after himself. Although probably located at Naysan in modern Iraq, the city's location has been disputed as the hydrography of the region has near-continuously changed since antiquity.”
 
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