This decision does not absolve the Essendon Football Club of blame," Marsh said.
"Today's decision brings a sense of overwhelming relief and vindication of the players' consistent position of innocence.
"Players were placed in an unacceptable position that put their health and careers at risk -- for over two years these players' lives have been hijacked by this issue through no fault of their own."
ASADA has 21 days to appeal.