Potter and his coaching staff were let go by the Hammers just two days before a game.
Cole believes that the writing was on the wall for Potter, citing the team's poor performance in recent London derbies as a key factor in his departure.
He also feels that Potter was not given enough support from the club, particularly in terms of transfers during the current window.
Cole suggests that the club should have been more decisive in their approach, providing a clear plan for Potter's tenure and giving him the backing he needed to succeed.
Despite understanding the reasons behind Potter's dismissal, Cole is disappointed that the club's restructuring efforts did not come to fruition during his time at the helm.
Cole wishes Potter well in his future endeavors and hopes that West Ham can turn their season around.
In an ideal scenario, Cole would like to see the club invest in its academy and bring in players that fit the manager's style.