Yes it will.
Then again, so will any of the hundreds of industry-standard micro-USB cables that come with pretty much any cell-phone you've bought in the last 5 years -- except for Apple of course -- as well as a number of other devices.
There is nothing special about the one that ships from Amazon, they just provide it to make sure you have one. Believe it or not, there are actually people out there who never had a cell-phone (or at least, a non-Apple cell-phone).
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