Austrian Andreas Evers was apprehended after landing at Munich airport on Tuesday and quizzed by police and a judge, newspaper Die Presse reported.
The US men's speed coach is accused of stealing 1.4 million euros from his ex-girlfriend during the period of 2001 to 2005.
The paper said the unnamed woman had herself been jailed after being found guilty of embezzlement to the tune of 7.6 million euros. She served 30 months of a four-year sentence before being released.
The report claims she then filed a complaint against Evers, who is now accused of receiving ill-gotten money.
The 44-year-old has been bailed, as long as he does not impede the ongoing investigations.
Evers moved to the US team in April after quitting his role with the Austrian Ski Association, where he trained, among others, former World Cup champion and Olympic gold medallist Hermann Meier.