The flying winger is out with a knee injury having reported for duty at the England camp on Monday morning.
JJ also met up but was sent home following scans on that calf problem while Ledley is out with a knee injury.
Martin explained on Monday afternoon: "He went to the England camp, had an assessment and he couldn't be in the squad. It's a shame because he's done well over the last few weeks and he might well have been involved in the team. It's a disappointment for Aaron and England.
"Ledley has knock on his knee, he's been okay for the last couple of weeks but it was better that he pulled out this time.
"JJ has a little tear in his calf. It's the same injury that Pascal Chimbonda had recently and I think he will be out for a couple of weeks."
The withdrawals have left us with three representatives in England's full squad - Paul Robinson, Michael Dawson and Jermain Defoe - plus Tom Huddlestone in the Under-21s.
Aaron Lennon has joined Ledley King and Jermaine Jenas in having to withdraw from the England squad for Wednesday's friendly against Holland.