The former Cottagers boss will not allow his former club to lure the 30-year-old forward, who has so far registered five goals this season, away from the Hawthorns
Goal.com previously revealed that the Nigerian forward is coveted by the Albion boss’ former side Fulham, who have received interest in some of their own attackers, including Bobby Zamora and Andy Johnson.
“There has been no approach for Odemwingie; I would not welcome an approach,” Hodgson told Sky Sports.
“He is a valuable player who we want to keep. Our aim this transfer window was to make our squad stronger and there was never any suggestion we would have to sell a player.
“We have had no enquiries, and it sounds like a bit of mischief-making to me, but Odemwingie is not for sale.”
The 30-year-old striker has scored five goals so far this season on the back of his haul of 15 in his debut year with the club in 2010-11.
The Uzbekistan-born hitman previously represented the likes of Lille and Lokomotiv Moscow before arriving in England.