The match also marked the Chelsea defender's ton of caps for the national side, but Hodgson insists that he was not intending to replace the left-back at the break.
"He was injured, he was feeling his hamstring," said Hodgson.
"He was having treatment during the half-time interval and would have soldiered on, but he was clearly suffering.
"I'm very much aware that the match came in a busy time for the Premier League teams, so I didn't want to take any chances."
Cole made his England debut against Albania in March 2001.