City manager Eriksson is ready to pay £12m for the Germany star, 22.
He has sounded out City's German midfield player Hamann, 34, who revealed: "Sven asked me what I thought of Lukas.
"I told him that Podolski is quick, skilful and dangerous in front of goal. Lukas is the striker at the top of Eriksson's wish list. He wants to sign him at all costs."