The Stoke striker said the incident reminded him of his own problems at the club when he was fined after speaking to Queens Park Rangers without permission in January 2013.
Odemwingie said on Twitter: "I see a repeat of my situation if he doesn't leave this summer. Senior pros haha."
Berahino has chosen not to pursue legal action against team-mate James Morrison after allegedly being punched by the midfielder during the dressing-room incident last weekend.
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