The 22-year-old, who signed a five-year deal at Stamford Bridge, arrives from Bayer Leverkusen for a reported £18m, and the versatile Schurrle has said that winning the title is the club's top priority.
"For this club, winning titles is always the main objective. We have a great young team with so much quality," Schurrle told the club's official website.
"We are capable of doing well in the Premier League, Champions League and the cup competitions as well, and I hope to play a big part."
Schurrle scored 14 goals in 43 appearances for Leverkusen last season.