tag -->
The 26 year-old, who has 95 caps for the national team, will move to the Emirates for an undisclosed fee after both clubs and the player reached agreement over the deal.
Podolski said: "The move to Arsenal provides a great opportunity for me to gain experience in international competitions at a top European club."
Podolski, who started his career at Cologne before rejoining them in 2009 after an unhappy three-year spell at Bayern Munich, added on the club's official website: "I have made this decision not against Cologne but for this great opportunity and the good of my own individual development.
"This was not an easy decision for me at all, as Cologne, our fans and the city are something special for me. I will always carry Cologne in my heart. We need to pool our strengths now and have to be fully focused on our survival in the Bundesliga."
The Poland-born forward, who had one year left on his contract with the Bundesliga strugglers, has scored 18 league goals for a side battling relegation so far this term, his best ever top-flight return.
Cologne chairman Claus Horstmann admitted the club were sad to see such a popular and influential figure at the club go.
He said: "Lukas Podolski is a player of world class standing with a special relation to FC Cologne's fans and to the city.
"We are proud of the development Lukas Podolski has taken at Cologne within the last years.
"From his early days at our youth squads, via his first competitive match for our professional team, through to a highly renowned Germany international
"That's why we deeply regret his step, which is not a decision against Cologne but for the good of his own career.
"Cologne were prepared to extend Lukas Podolski's contract on the basis of a competitive offer. Nonetheless, this early transfer decision offers scope and planning security for the next season.
"We will jump at this opportunity to reinvest these transfer earnings back into our team's quality and into the promotion of our youth squads.
"Lukas has helped the club in many difficult situations, Lukas has left a mark on Cologne's reputation and we feel the need to thank him for numerous great football experiences at Cologne."