The attacker beat off competition from striker Javier 'Chicharito' Hernandez and Palace Ladies ace Amber Stobbs for the accolade.
At Selhurst Park, the Ghanaian intercepted a pass halfway, and on a solo run, turned Scott Dann inside out before hitting a rocket into the top left corner of the net from outside the box to put the Irons 2-0 up.
However, it eventually ended in disappointment for West Ham as Wilfried Zaha netted an equalizer in the last minute of injury time after Luka Milivojevic halved the deficit on 50 minutes.
In a poll decided by supporters of West Ham, Ayew earned 39% of the votes while Chicharito and Stobbs garnered 26% and 16% respectively.
The 27-year-old's strike is also in contention for the Premier League Goal of the Month of October.
The winner of the award will be announced on Friday.