Hearts and Thistle failed to overturn their demotions and were denied any compensation.
The former Gers boss believes Steven Gerrard will have replacements lined up.
The 28-year-old France-born player made 77 appearances across two seasons for Oldham.
Griffiths played half an hour of the 3-1 Parkhead win
Victory over Notts County will earn the North Yorkshire club a place in League Two.
Woods, on loan from Stoke, impressed at Millwall to help them finish in eighth.