Schroder said those teams are "going in the right direction."
The 24-year-old German held a news conference in his native country and his words were translated by FIBA.basketball writer David Hein.
Schroder said he plans on meeting with Hawks owner Tony Ressler and general manager Travis Schlenk along with his agent to get a better understanding on where the team is headed.
"I have to look individually what's the best for me," Schroder was quoted as saying. "I will be 25 in September and of course you want to win a title some time. In my prime -- 23, 26, 27, 28, 29 -- I want to compete. I cannot be second to last in the Eastern Conference. That's why I will have the talks with the Atlanta Hawks."
Atlanta ended last season with a 24-58 record, last in the Eastern Conference.
Schroder said he wants to stay in Atlanta if things are going in the right direction. He has spent his entire five-year career with the Hawks.
Schroder was drafted No. 17 overall in the 2013 NBA draft. He averaged 19.4 points and 6.2 assist per game last season.