Technique to repair a hole in a capilene shirt

Technique to repair a hole in a capilene shirt

My medium weight Capilene shirt has a burn hole, with a through and through hole about 1/2" and damaged material layer about 4x6". This damage was made with an iron (person didn't know shirt should not be ironed). The Capilene has 2 closely adhered layers of fabric and is somewhat stretchy. I'm getting a piece of Capilene to sew over the hole. Please advise the type of stitch to use to sew on the new piece of fabric.