* Relational agrees to support Genzyme board nominees

* May name director to represent Relational interests

CHICAGO, Jan 7  - Genzyme Corp (GENZ.O) said Relational Investors LLC, which owns about 4 percent of Genzyme shares, gave conditional agreement to support the Genzyme board's nominees and proposals in 2010.

As part of the agreement, Genzyme said it will appoint Ralph Whitworth, a principal and co-founder of Relational, to the board if Relational requests representation in November 2010.

Relational, a $6 billion private investment fund, last month requested representation on Genzyme's board of directors. (Reporting by Debra Sherman, editing by Dave Zimmerman)