The interest the player has in other clubs will have an affect on clubs making a bid for the player. So on paper every Premier League club should want Podolski for ?0. But if Podolski is not interested in a move to the other club then the clubs won't bid. So for example Newcastle will not bid for Podolski, as Podolski has no interest in moving to Newcastle.
As he is already at big club in Arsenal, this will limit the amount of clubs he would be interested in moving too. Then the other clubs would have to have the available transfer budget (remember loyalty bonus and agent fee now come out of this) and wage budget in order to sign him. As Podolski is on ?100K he would be looking for that or more if he were to leave Arsenal. AI clubs shouldn't be bidding for players if they can't afford the player. Because the deal will then fall through and we will get bug reports about AI sides attempting to sign players they don't have the budget for.