Following the fine 32-20 win over defending champions Ireland in Dublin, coach Eddie Jones tweaked a squad he will trim to 23 later today.
Cokanasiga, 21, who won his two caps in November, was ruled out of the Dublin game with a knee injury but is back in contention alongside Jack Nowell and Jonny May and Chris Ashton.
Cole, who played for England last year, replaces Harry Williams while Moon is in for Ellis Genge.
France lost their opening game 24-19 at home to Wales last Friday after leading 16-0 at half time.
They have not won a Six Nations game at Twickenham since 2005 and aim to push England who they face in the pool stage of the Rugby World Cup.