The Nigerian international was dismissed by referee Mike Dean in the 1-1 draw after an incident that left Bolton striker Youri Djorkaeff on the floor. 
"Babayaro says it wasn't intentional that the Bolton player was injured," said Chelsea manager Claudio Ranieri. " It was an accident.
"I didn't see it at the time as I was talking to Mario Stanic on the bench.
Minutes earlier Bolton defender Paul Warhurst had incensed Gianfranco Zola with an aerial challenge.
"I know about the challenge on Zola but I believe in the referee and linesmen," added Ranieri. "I say nothing about them, I accept their rules."