Euro 2012 qual. - Terry and Cole out of France friendly
Terry missed Chelsea's shock 3-0 home defeat by Sunderland in the Premier League on Sunday.
"He will not be able to play for England. He has a problem with his back and hopefully he will be ready for the next game," Chelsea manager Carlo Ancelotti said.
West Ham United striker Carlton Cole was earlier called into the squad due to fitness doubts over Newcastle United's Andy Carroll and Villa's Gabriel Agbonlahor who suffered injuries playing for their clubs over the weekend.
Carlton Cole won the last of his seven England caps as a substitute against Egypt at Wembley Stadium in March.