An object will only cross the zenith if you happen to live at a latitude equal to its declination (for the Pleiades, that is 27 degrees, 7 arcminutes N, from Wikipedia). Otherwise, it will miss the zenith by the same angle as the difference between your location and its declination.
It will be at the highest it happens to reach when the local sidereal time is equal to its right ascension, in an event called transitting (for the Pleiades, at 03:47 local sidereal time). Ordinary wall clock/wristwatch time coincides with local sidereal time on the Vernal Equinox, and then the sidereal time get ahead of ordinary time by 3 minutes and 56 seconds every subsequent day, or roughly two hours per month. That means for November, that sidereal time is about 16 hours ahead, so the Pleiades will transit something like 03:47 minus 16 hours = about noon, local time. You can calculate your exact local sidereal time with any number of websites if you know your exact longitude. There was an Android app that would use your GPS to determine it automatically, but the latest version is broken and does not work at all, on my phone at least.
You can do a similar calculation for the Moon using its phase, but the easiest thing to do is just play with some planetarium software until you see the event yourself.
Hang on, is this for a Muslim religious observation? This has been discussed elsewhere on this site before, so you might look for it. Officially, I believe the proper time of observation is strictly experimentally determined, that is, when the Moon is actually spotted by some properly qualified religious figure, probably observing from Mecca.