West Ham United have lost every league game under Manuel Pellegrini.
James Collins left West Ham United at the end of last season.
West Ham travel to Anfield to face Liverpool on Sunday.
Cottee reckons Everton duo Michael Keane and Gylfi Sigurdsson can play huge roles at Goodison Park.
West Ham have completed one signing this summer, in the form of right-back Ryan Fredericks.
West Ham decided to end David Moyes' spell in charge at the London Stadium.
Everton fans got what they wanted when Sam Allardyce was sacked this week to make way for a fresh appointment this summer.
West Ham United were feeling very happy with themselves after securing a precious point at London rivals Chelsea last time out.
Tony Cottee suggests Newcastle United's Jonjo Shelvey deserves World Cup consideration.
Wayne Rooney was angered by Everton manager Sam Allardyce on Saturday.