Yes as the cooler fits on every single CPU made. IE any upgrade the cooler supports the socket. It fits all the AM2, AM2+, AM3, AM3+, AM4, FM1, FM2, FM2+, LGA1150, LGA1151, LGA1155, LGA1156, LGA1366, LGA2011, LGA2011-3, LGA2066, and LGA775 which just about every socket. Only 2 not on the list is new Intel enthusist 18 core 2066 pin and the new AMD enthusist threadripper 16 core. Those 2 will probably be added soon with a bracket once they start sales of the motherboards.
The C2Q also is a hard CPU to cool so you really need a good cooler. A $15 cooler just wouldn't cut it on a those. They are really 2 C2D put together.