Mahmoud Hassan's stance prompted the player to hand in a transfer request as he seeks to secure a move to the Scottish champions.
"I've repeatedly stated that I want to sign for Celtic," said Trezeguet. "And I have been told that Celtic's official offer to the club will arrive this week. The club know it is coming and will have plenty of time to find a replacement for me.
"I won't give up my dream. Especially since everybody knows the name and popularity of a club like Celtic."