Chinese troops did indeed fight in Burma. In fact, when that theater collapsed, several of their units retreated into India, where they were retrained and equipped by the US and British into X Force, a corp of three modern divisions.
http://en.wikipedia.org/wiki/Chinese_Army_in_India
X force was also augmented by Chinese troops flown back over “the Hump” by C-47’s. They would otherwise have been empty, so it was thought this was a good way to equip some Chinese forces without having to fly in the equipment.
Which begs the question, why Gandhi the pacifist protested the arrival of American troops on the premise that India should have been able to mobilize millions? Indeed, but I doubt that Gandhi was really all that fired up about that.