Unfortunately, the surviving ancient sources generally say very little about women's height, so modern historians possess very little information about how the ancient Greeks felt on the matter. Most Greeks most likely did not see it as an especially important issue or one that was particularly worth discussing. Nonetheless, a couple of anecdotes do seem to suggest that tall women were valued more highly because they were thought to be more likely to bear tall sons and were generally seen as more impressive, while shorter women tended to be valued less highly.

Many Greek people clearly had the impression that goddesses were exceptionally tall compared to mortal women and they clearly regarded exceptional female height as impressive in some sense. The Greek historian Herodotos of Halikarnassos (lived c. 484 – c. 425 BCE) tells a story in his Histories 1.60.3–5 about how the tyrant Peisistratos supposedly managed to regain power in Athens by passing off an exceptionally tall and beautiful woman from the deme of Paiania as the goddess Athena herself. He writes, as translated by A. D. Godley (with some edits of my own to make the translation more closely match the Greek):

"When this offer was accepted by Peisistratos, who agreed on these terms with Megakles, they devised a plan to bring Peisistratos back which, to my mind, was so exceptionally foolish that it is strange (since from old times the Hellenic stock has always been distinguished from foreign by its greater cleverness and its freedom from silly foolishness) that these men should devise such a plan to deceive Athenians, said to be the subtlest of the Greeks."

"There was in the Paianian deme a woman called Phye, three fingers short of four forearms in height [μέγαθος ἀπὸ τεσσέρων πηχέων ἀπολείπουσα τρεῖς δακτύλους], and otherwise, too, well-formed. This woman they equipped in full armor and put in a chariot, giving her all the paraphernalia to make the most impressive spectacle, and so drove into the city; heralds ran before them, and when they came into town proclaimed as they were instructed: 'Athenians, give a hearty welcome to Peisistratos, whom Athena herself honors above all men and is bringing back to her own acropolis.'"

"So the heralds went about proclaiming this; and immediately the report spread in the demes that Athena was bringing Peisistratos back, and the townsfolk, believing that the woman was the goddess herself, worshipped this human creature and welcomed Peisistratos."

Additionally, at least in Sparta, taller women seem to have been held in higher esteem because it was believed that they would give birth to tall sons who would be more formidable fighters in battle. The biographer and Middle Platonist philosopher Ploutarchos of Chaironeia (lived c. 46 – after c. 119 CE) records in his Life of Agesilaos 2.3 a famous story about the second marriage of the Eurypontid Spartan king Archidamos II (ruled 469/8 – 427/6 BCE), who is said to have married a very short woman named Eupoleia. Ploutarchos claims that Eupoleia's stature became a matter of controversy with the ephors. He writes, as translated by Bernadotte Perrin:

"But according to Theophrastos, Archidamos was fined by the ephors for marrying a little woman, 'For she will bear us,' they said, 'not kings, but kinglets.'"

Archidamos II insisted on the marriage, despite the ephors' objections, and Eupoleia ended up becoming the mother of King Agesilaos II, who is generally regarded today as Sparta's most actively influential king.