The 28-year-old was on the scoresheet twice at the KC Stadium after Aaron Ramsey had put the visitors ahead, and winning their remaining three games would see them secure Champions League football.
Fifth-placed Everton are in close pursuit of Arsene Wenger's side but Podolski insists that they are not thinking about anything else other than their own results, with Newcastle, West Brom and Norwich still to play.
"It's important to get fourth place, but it's important to go match to match," he told Sky Sports.
"We now look forward to our next game against Newcastle because every game is important."
Podolski now has four goals in his last two Premier League games despite playing in an unfavoured wide position on the left.
He said: "When you score the goals nobody speaks about where you play. The coach makes the decision where we play and it is just important to get the three points."
Meanwhile, Ramsey's goal was his first since returning from the injury that has kept him out since December and he claimed the man of the match award after a fine display.
His side will meet Hull again next month in the FA Cup final, but the Wales midfielder believes that the KC Stadium win will have little bearing on the Wembley clash.
"It's important for us to come here and get the win, to keep our position in the league," he said.
"We have beaten Hull twice but are not going to take them lightly. They are a well organised team, get crosses in and we can't rely on our previous performances against them."