What does Luke 1:60 mean?

Gabriel, the angel, told Zechariah (Luke 1:5–7) that he should name his son John (Luke 1:13). Since the birth, itself, was to be a miracle, Zechariah responded with doubt (Luke 1:18). As punishment, Zechariah was rendered unable to speak until after Gabriel's prophecy was fulfilled (Luke 1:19–20). That probably did not stop Zechariah from communicating to his wife what had happened, likely in writing.

Now that she has given birth (Luke 1:57–58), the time has come to choose a name. Since Zechariah is not speaking, those performing the ritual plan to call the baby by the father's name (Luke 1:59). Elizabeth vetoes this and wants to call her child John. The family will be surprised; sons were usually given traditional names from the family line (Luke 1:61). Zechariah, who might also be unable to hear (Luke 1:62) will confirm the name should be "John" (Luke 1:63). This will complete all Gabriel's predictions about John's birth, freeing Zechariah to speak (Luke 1:64–66).