Arsenal are understood to be planning a January raid for the Germany international.
Finke told BILD: "I am trying to stay indifferent to rumours like this. We all know what we are facing.
"Sometime around Christmas we will be going to meet to try and thrash out the contract extension of Lukas Podolski.
"I have already spoken to his agent, Kon Schramm. We have no clear date just now. Maybe we will meet two weeks before Christmas or two weeks after Christmas. We should fix this without any pressure."