Hamann, capped 59 times by Germany during his playing career, undertook his first management assignment at Edgeley Park this summer following County's relegation from the Football League.
He joined because of the promise of new investment in the club from Liverpool-based businessman Tony Evans.
However, a deal failed to materialise and after three league wins in 19 attempts, Hamann cited the collapse of Evans' takeover bid as a key factor in ending his four months in charge.
The 38-year-old is keen to make a quick return to management.
Dietmar Hamann: "Following a meeting this morning between (chairman) Lord Snape and myself, I have tendered my resignation as manager of Stockport County.
"Having been introduced to the club by Tony Evans, I presumed that the takeover by him and his consortium would have taken place.
"Various promises were made to me at the time of my appointment which subsequently did not take place. I feel therefore unable to continue in the post.
"Some players come in and they go out and see it's not for them, but I've thoroughly enjoyed the last four months in my first managerial job.
"I see now that it's made for me and I want to carry on doing it.
"It's unfortunate that I won't be carrying on there due to the circumstances, but I want to stay in football and I want to carry on managing."
Source: FOOTYMAD
