Bilic was the bookmakers favourite to replace Sam Allardyce as the Hammers head coach after resigning from his position as manager of Beşiktaş.
The 46-year-old manager ended the Süper Lig season in disappointing fashion after crashing out of the title race with just three games left.
The ex Beşiktaş coach had a successful European run last season holding Arsenal to a draw in Istanbul while beating Tottenham and at the Atatürk Olympic and knocking Liverpool out of the Europa League Round of 32.
Bilic was popular with the fans and the largest fan group Çarşı protested the boards decision not to keep him on when it was revealed that he would be leaving.
The former Croatian national team manager was given a hero’s farewell from Beşiktaş fans who turned up en masse to meet him at the Sabiha Gökçen airport before he left Turkey.
The fans chanted his name, unveiled a large banner thanking him for the work he did at the club and carried Bilic on their shoulders.