"conducted training for" is correct and usable in written English.
It is often used to indicate that someone has organized or provided instruction for a group or individual. Example: The company's HR manager conducted training for all new employees on the company's policies and procedures.
Herrera conducted training for the Mandalay Bay staff a couple of weeks before the Mayweather-McGregor fight.
Last week, the statisticians conducted training for practitioners across Florida crime labs at the Palm Beach County Sheriff's Office, and they intend to launch similar courses around the United States. .
After the attack, Rafi became a recruiter of interpreters, and conducted training for Afghan Special Forces.
As company commander, he conducted training for new PETA recruits in Surakarta, Jakarta, and Madiun.
The DEA Office of Financial Operations has conducted training for Senegalese officials on how to counter money flows related to drug trafficking.
The Beirut-based SIDC, or Nursing Care and Community Development organization, conducted training for journalists this week on controversial and sensitive social issues.
Johnson grew up in Corsicana, Tex., a town of nearly 25,000 people where his mother packed Tom's potato chips at a factory and his father conducted trains for Southwest Pacific.
They also conduct training for midcareer professional journalists.
Conor Foley is conducting training for the EU Observer mission to Georgia on behalf of the Council of Europe.
The shah creates the Atomic Energy Organization of Iran, which conducts training for its personnel and nuclear deals with countries including the United States, France, West Germany, Namibia and South Africa.
She also conducts training for health and meteorology professionals in South Asia and the Caribbean on heat early warning systems and climate-health relationships.
