Hazard missed Chelsea's 2-1 Premier League victory at Stoke City on Saturday with the calf problem he picked up in training.
Martinez said the injury was not serious but Hazard was also very likely to miss Belgium's friendly with Russia on Tuesday.
"Eden has suffered an injury before the match against Stoke, it does not look so serious," he said.
"But he will not play against Greece. We are going to follow the injury.
It is a big disappointment for Eden that he cannot lead the team. If you want to be a good team, you have to absorb everything.
Read the full article on eurosport.co.uk: Hazard ruled out of Belgium games through injury