Can confirm that will work. Used that phone as backup when my 5x bootlooped. Not a phone I'd want to use for a long time, but it worked fine. Get a micro to nano sim adapter, or you can just center it in the sim compartment. It worked fine without the adapter for me, but it would have been easier with it.
If you need to go back in the other direction and didn't keep the original "adapters," Amazon can help...
Buy a sim card adaptor from Amazon. Ex: Black Nano Sim Adapter and Micro Sim Adapter and Nano to Micro Adap... http://www.amazon.com/dp/B00HSPQZIG/ref=cm_sw_r_udp_awd_WtJUvbQQ5VCQE http://www.amazon.com/dp/B00HSPQZIG/ref=cm_sw_r_udp_awd_WtJUvbQQ5VCQE