Can you use the 1560mAh battery for the iphone 5c?

I believe the 5C uses the 1510 mAh battery, and some of the replacement batteries online say that they work for the 5C but are 1560 mAh. Would it be fine if I use the 1560mAh in my 5C?

Yes it would be fine. The difference is the "capacity", or how long the battery charge will last. The larger figure means that it will last longer. In this particular case only a very short time longer; you probably won't notice the difference.