The Germany international, signed from Cologne in a reported £11million deal, feels it is a combination which can prove electric.
"I like Arsenal's style of football and Santi's as well - I love his style of football, with one or two touches," he said. "We play [well] together and you could see it here - he passed for me for the first goal, I passed to him for the second goal.
"But we are only three matches in. We have 35 matches more so we must keep going."
Podolski added: "At Arsenal, I not only play on the line, but I can go in the middle and play with Santi and Abou Diaby and Mikel Arteta.
"This is my style of football. I like this, but it is not only about one match - I want to play more of these matches."