The 31-year-old midfielder, who began his career at Loftus Road, has joined Rangers on a short term contract after being released by The Hammers.
Quashie made 58 league appearances for Rangers before leaving to join Nottingham Forest for £2.5million in 1998.
He has since had spells at Portsmouth, Southampton, West Bromwich Albion and West Ham.
He was on loan at Birmingham for a spell last season and more recently spent a month on loan with MK Dons.