In May, Ford called a report that Odell will lead Ford of Europe "speculation."
At the time Frankfurter Allgemeine Zeitung said Odell will replace current Ford of Europe CEO John Fleming when Ford's sale of Volvo to Zhejiang Geely Holding Group is completed.
Volvo's new management team is up to Geely to confirm, John Gardiner, a spokesman for Ford of Europe, said Thursday without comment on the Frankfurter Allgemeine Zeitung report.
Jacoby has been Volkswagen's top U.S. executive since September 2007. He has cut costs, designed the first models for the U.S. market, added an assembly plant in Tennessee and moved the headquarters to Virginia from Michigan.
Lohscheller, a VW executive vice president, has had responsibility for managing the financial side of VW's U.S. operations since 2007. Barnes has been VW of America COO since the same year.
Geely is buying Volvo from Ford for $1.8 billion. Volvo's leader will have to staunch plummeting sales to return the company to profit while tapping growth in China.
Volvo sold 334,808 cars worldwide last year, a decline of 11 percent from 2008 and 27 percent from a peak of about 460,000 in 2007, according to the company.
Volkswagen sold about 213,000 vehicles in the United States last year, excluding the luxury Audi brand. The company aims to more than double the figure to 450,000 by 2012 to 2013, Jacoby said in January.
Jacoby started working for VW in 1985 in the industrial sales controlling department, according to his company biography. He worked for Volkswagen of America in 1988 in the controlling and marketing departments, before moving to Japan where he stayed until the end of 1992.
From 1997 to 2001 he was responsible for VW's Asia-Pacific region. Jacoby left the automaker in 2001 to work for Mitsubishi Motors Corp.'s European operations. He returned to VW in March 2004 and became global sales chief later that year.
Bloomberg contributed to this report.