The phrase "ambition training" is correct and usable in written English.
It can be used to refer to training or development programs aimed at enhancing one's ambition or goal-setting skills.
Example: "The company offers ambition training workshops to help employees set and achieve their professional goals."
Alternatives: "goal-setting training" or "aspiration development".
He had won the district mural contest for the school every year, his ambition and training in art making him a craftsman in the end, but shouldn't he consider it good fortune that his ability to paint the best portrait of Chairman Mao in the district had saved him from losing his job?
Ambition, initiative, training and education are all escape mechanisms from the minimum wage job.
Hine also repeated his ambition to train the richest horse in racing history.
Now he has another ambition: to train here as a wushu coach.
Later I achieved my longstanding ambition to train at Britannia Royal Naval College and was commissioned as a lieutenant.
In the summer he teaches soccer camp with an ambition to train more young athletes so they will take up his game.
It does not take any kind of expertise to see that the White House's ambition to train and equip "moderate" rebels in Syria lies in tatters.
In "The Austringer," obsession overtakes a young man who neglects everything and everyone around him to fulfill his lifelong ambition to train and hunt with a falcon.
After studying forensic science she achieved her ambition – to train and work for 10 years in a variety of mortuaries as an anatomical pathology technologist, or APT, assisting pathologists at postmortems.
The result was the European School of Molecular Medicine ( SEMM), a new institute with the ambition to train the next generation of scientists in molecular medicine--a discipline that, as Veronesi puts it, has the potential "of clarifying the genetic and molecular mechanisms underlying each disease".
