Manager Nuno Espirito Santo will take his squad to Ibrox to face strong opposition, with Rangers having finished third in the Scottish Premiership last season and also competing in the UEFA Europa League.
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The match will mark the Hammers third visit to the iconic 51,700-seater stadium, which has been home to Rangers since 1899.
Previous meetings at Ibrox include a 1979 Tennent Caledonian Cup clash and a 2022 pre-season encounter.
West Ham have also confirmed earlier warm-up games against Southend United and Stevenage as part of their summer schedule ahead of the new season.