Oh, we went through this when my daughter was in the Navy Sea Cadets. Those patches are painful on the fingers if you hand sew them! But it can be done.
I would use a whip stitch to attach them if you have to do it by hand. Pin the patch securely in place, and double check to make sure that's where it goes before attaching it! Then just stitch it on using a matching thread color.
Don't worry about the back side, but you do want the front side neat and tidy. See sample below for how to do a whipstitch. If you have access to a machine, it's SO much easier, though!
They will be much more securely attached and it can be done much, much quicker by machine. If all else fails, we did glue some, though! But it's not a very safe way, if you don't get the edges securely attached.
But it will work, at least it did for us, by using glue made especially for fabric. Another thing to consider is to glue the patch in place, then sew it on. Helps keep it steady for the sewing.
But if you will need to ... more.
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