Villa swooped to secure Kozak's services on transfer deadline day, with a £7million deal taking him from Serie A to the Premier League.
The towering 24-year-old is looking to hit the ground running in England and feels playing alongside proven frontmen such as Klose in the past can only help him heading forward.
Kozak said: "Playing with such a strong player at Lazio, I hope I was able to learn something from him. I also hope to help improve Villa.
"My ambition is to score goals and to fit in with my new team-mates."
Kozak, who plundered 10 goals in continental competition last season, added: "I scored goals in the Europa League and I'm happy about this because it's not easy."