[1] The Semitic root pṣy takes in Aramaic and Hebrew the meaning 'to rescue, to deliver', and in Classical Arabic that of 'to separate, to remove', which by extension becomes 'to escape, to become free'.
[1] This convinces Norris of the meaning 'ʾl delivered' for Phasael, as opposed to opinions interpreting it as meaning 'God has opened (the womb)', or to seeing it as an innovative Hebrew theophoric name from the Second Temple period, given that among the Greek inscriptions containing it, only one is from Judaea, compared to twenty-nine from Transjordan and southern Syria, plus the fact that, as of 2017, it does not occur in any known Hebrew or Jewish Aramaic material.
Milik and J. Starcky, explains the use of the name by Antipater for one of his sons, an older brother of King Herod, through the influence of his wife, who was of Arab/Nabataean origin.
[2] Herod named the town of Phasaelis, established by him in the Jordan Valley north of Jericho, and the Phasaelus tower in Jerusalem after his brother Phasael.
[1] Phasa'el (Phasaelis, Phaisael), born in 5/4 BCE,[1] was a Nabataean princess, daughter of King Aretas IV Philopatris who became the first wife of Herod Antipas, ruler of Galilee and Perea.